<h1>Luxemburg, W. A.</h1> <h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Luxemburg, W. A. J. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210203-081026434">Robinson, Abraham (1918–1974)</a>; ISBN 978-1-349-95189-5; The New Palgrave Dictionary of Economics; 11763-11764; <a href="https://doi.org/10.1057/978-1-349-95189-5_1579">10.1057/978-1-349-95189-5_1579</a></li> <li>Luxemburg, W. A. J. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170327-135159965">Notes on the Theory of Integration : Ma 108</a></li> <li>Luxemburg, W. A. J. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170327-135729832">Non-Standard Analysis: Lectures on A. Robinson's Theory of Infinitesimals and Infinitely Large Numbers</a></li> <li>Kaashoek, Marinus and Luxemburg, Wim, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140326-115616709">Adriaan Cornelis Zaanen</a>; Indagationes Mathematicae; Vol. 25; No. 2; 164-169; <a href="https://doi.org/10.1016/j.indag.2013.11.002">10.1016/j.indag.2013.11.002</a></li> <li>Luxemburg, Wilhelmus A. J. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090910-133620697">A Distributional proof of a theorem of Plessner</a>; Archiv der Mathematik; Vol. 92; No. 5; 501-503; <a href="https://doi.org/10.1007/s00013-009-3109-2">10.1007/s00013-009-3109-2</a></li> <li>Luxemburg, W. A. J. and de Pagter, B. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-135738314">Representations of Positive Projections II</a>; Positivity; Vol. 9; No. 4; 569-605; <a href="https://doi.org/10.1007/s11117-004-2774-4">10.1007/s11117-004-2774-4</a></li> <li>Luxemburg, W. A. J. and de Pagter, B. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-135738430">Representations of Positive Projections I</a>; Positivity; Vol. 9; No. 3; 293-325; <a href="https://doi.org/10.1007/s11117-004-2773-5">10.1007/s11117-004-2773-5</a></li> <li>Goldberg, Moshe and Luxemburg, W. A. J. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:GOLpjm04">Stable subnorms revisited</a>; Pacific Journal of Mathematics; Vol. 215; No. 1; 15-27</li> <li>Goldberg, Moshe and Guralnick, Robert, el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-135833494">Stable Subnorms II</a>; Linear and Multilinear Algebra; Vol. 51; No. 2; 209-219; <a href="https://doi.org/10.1080/0308108031000078920">10.1080/0308108031000078920</a></li> <li>Luxemburg, W. A. J. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-152216402">Characterizations of Sunduals (Summary)</a>; Positivity; Vol. 7; No. 1-2; 81-85; <a href="https://doi.org/10.1023/A:1025820100268">10.1023/A:1025820100268</a></li> <li>Jackson, Frances Y. and Luxemburg, W. A. J. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:JACpams03">Sundual characterizations of the translation group of R</a>; Proceedings of the American Mathematical Society; Vol. 131; No. 1; 185-199; <a href="https://doi.org/10.1090/S0002-9939-02-06632-7">10.1090/S0002-9939-02-06632-7</a></li> <li>Luxemburg, W. A. J. and de Pagter, B. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-152735098">Maharam extensions of positive operators and f-modules</a>; Positivity; Vol. 6; No. 2; 147-190; <a href="https://doi.org/10.1023/A:1015249114403">10.1023/A:1015249114403</a></li> <li>Goldberg, Moshe and Guralnick, Robert, el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-135909088">Not all quadrative norms are strongly stable</a>; Indagationes Mathematicae; Vol. 12; No. 4; 469-476; <a href="https://doi.org/10.1016/s0019-3577(01)80035-5">10.1016/s0019-3577(01)80035-5</a></li> <li>Luxemburg, W. A. J. and Väth, Martin (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-135833363">Existence of Non-Trivial Bounded Functionals Implies the Hahn-Banach Extension Theorem</a>; Zeitschrift für Analysis und ihre Anwendungen; Vol. 20; No. 2; 267-279; <a href="https://doi.org/10.4171/zaa/1015">10.4171/zaa/1015</a></li> <li>Goldberg, Moshe and Luxemburg, W. A. J. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-135909209">Discontinuous subnorms</a>; Linear and Multilinear Algebra; Vol. 49; No. 1; 1-24; <a href="https://doi.org/10.1080/03081080108818683">10.1080/03081080108818683</a></li> <li>Luxemburg, W. A. J. and de Pagter, B. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-151847109">Charles Boudewijn Huijsmans 1946–1997</a>; Positivity; Vol. 4; No. 3; 203-204; <a href="https://doi.org/10.1023/A:1017242730521">10.1023/A:1017242730521</a></li> <li>Goldberg, Moshe and Luxemburg, W. A. J. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-140239218">Stable subnorms</a>; Linear Algebra and its Applications; Vol. 307; No. 1-3; 89-101; <a href="https://doi.org/10.1016/s0024-3795(00)00011-2">10.1016/s0024-3795(00)00011-2</a></li> <li>Arens, Richard and Goldberg, Moshe, el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155853311">Stable Norms on Complex Numbers and Quaternions</a>; Journal of Algebra; Vol. 219; No. 1; 1-15; <a href="https://doi.org/10.1006/jabr.1998.7849">10.1006/jabr.1998.7849</a></li> <li>Arens, Richard and Goldberg, Moshe, el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854012">Stable seminorms revisited</a>; Mathematical Inequalities & Applications; Vol. 1; No. 1; 31-40; <a href="https://doi.org/10.7153/mia-01-02">10.7153/mia-01-02</a></li> <li>Huijsmans, C. B. and Kaashoek, M. A., el al. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181011-162816470">Operator Theory in Function Spaces and Banach Lattices: Essays dedicated to A.C. Zaanen on the occasion of his 80th birthday</a>; ISBN 978-3-0348-9896-6; <a href="https://doi.org/10.1007/978-3-0348-9076-2">10.1007/978-3-0348-9076-2</a></li> <li>Huijsmans, C. B. and Kaashoek, M. A., el al. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854110">Biographical Notes</a>; ISBN 9783034898966; Operator Theory in Function Spaces and Banach Lattices; 1-5; <a href="https://doi.org/10.1007/978-3-0348-9076-2_1">10.1007/978-3-0348-9076-2_1</a></li> <li>Albeverio, Sergio A. and Luxemburg, Wilhelm A. J., el al. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181012-074421607">Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis</a>; ISBN 978-90-481-4481-5; <a href="https://doi.org/10.1007/978-94-015-8451-7">10.1007/978-94-015-8451-7</a></li> <li>Luxemburg, W. A. J. and de Pagter, B., el al. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155855535">Diagonals of the Powers of an Operator on a Banach Lattice</a>; ISBN 9783034898966; Operator Theory in Function Spaces and Banach Lattices; 223-273; <a href="https://doi.org/10.1007/978-3-0348-9076-2_13">10.1007/978-3-0348-9076-2_13</a></li> <li>Arens, R. and Goldberg, M., el al. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-131548532">Multiplicativity Factors for Function Norms</a>; Journal of Mathematical Analysis and Applictions; Vol. 177; No. 2; 368-385; <a href="https://doi.org/10.1006/jmaa.1993.1263">10.1006/jmaa.1993.1263</a></li> <li>Arens, Richard and Goldberg, Moshe, el al. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-131120934">Multiplicativity Factors for Orlicz Space Function Norms</a>; Journal of Mathematical Analysis and Applications; Vol. 177; No. 2; 386-411; <a href="https://doi.org/10.1006/jmaa.1993.1264">10.1006/jmaa.1993.1264</a></li> <li>Arens, Richard and Goldberg, Moshe, el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-132007385">Multiplicativity factors for seminorms. II</a>; Journal of Mathematical Analysis and Applictions; Vol. 170; No. 2; 401-413; <a href="https://doi.org/10.1016/0022-247X(92)90026-A">10.1016/0022-247X(92)90026-A</a></li> <li>Huijsmans, C. B. and Luxemburg, W. A. J. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155855350">An Alternative Proof of a Radon-Nikodym Theorem for Lattice Homomorphisms</a>; ISBN 9789048142057; Acta Applicandae Mathematicae; Vol. 27; No. 1-2; 67-71; <a href="https://doi.org/10.1007/978-94-017-2721-1_7">10.1007/978-94-017-2721-1_7</a></li> <li>Huijsmans, C. B. and Luxemburg, W. A. J. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200515-115519213">An Alternative Proof of a Radon-Nikodym Theorem for Lattice Homomorphisms</a>; ISBN 9789048142057; Positive Operators and Semigroups on Banach Lattices; 67-71; <a href="https://doi.org/10.1007/978-94-017-2721-1_7">10.1007/978-94-017-2721-1_7</a></li> <li>Huijsmans, C. B. and Luxemburg, W. A. J. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181011-162006203">Positive Operators and Semigroups on Banach Lattices: Proceedings of a Caribbean Mathematics Foundation Conference 1990</a>; ISBN 978-90-481-4205-7; <a href="https://doi.org/10.1007/978-94-017-2721-1">10.1007/978-94-017-2721-1</a></li> <li>Luxemburg, Wilhelmus A. J. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155855248">Integration with Respect to Finitely Additive Measures</a>; ISBN 9783642635021; Positive Operators, Riesz Spaces, and Economics: Proceedings of a Conference at Caltech, Pasadena, California, April 16–20, 1990; 109-150; <a href="https://doi.org/10.1007/978-3-642-58199-1_6">10.1007/978-3-642-58199-1_6</a></li> <li>Aliprantis, Charalambos D. and Border, Kim C., el al. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200515-130605911">Positive Operators, Riesz Spaces, and Economics</a>; ISBN 978-3-642-63502-1; Positive Operators, Riesz Spaces, and Economics; <a href="https://doi.org/10.1007/978-3-642-58199-1">10.1007/978-3-642-58199-1</a></li> <li>Aliprantis, Charalambos D. and Border, Kim C., el al. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181011-142851140">Positive Operators, Riesz Spaces, and Economics</a>; ISBN 978-3-642-63502-1; <a href="https://doi.org/10.1007/978-3-642-58199-1">10.1007/978-3-642-58199-1</a></li> <li>Luxemburg, Wilhelmus A. J. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155855154">Robinson's Nonstandard Analysis and its Influence on Mathematics</a>; ISBN 9783034852432; Rechnen mit dem Unendlichen: Beiträge zur Entwicklung eines kontroversen Gegenstandes; 13-21; <a href="https://doi.org/10.1007/978-3-0348-5242-5_2">10.1007/978-3-0348-5242-5_2</a></li> <li>Luxemburg, W. A. J. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-132515650">The Work of Dorothy Maharam on Kernel Representations of Linear Operators</a>; Contemporary Mathematics; Vol. 94; 177-183; <a href="https://doi.org/10.1090/conm/094/1012988">10.1090/conm/094/1012988</a></li> <li>Luxemburg, W. A. J. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854487">Robinson, Abraham (1918–1974)</a>; ISBN 9781349951215; The New Palgrave Dictionary of Economics; 1-2; <a href="https://doi.org/10.1057/978-1-349-95121-5_1579-1">10.1057/978-1-349-95121-5_1579-1</a></li> <li>Luxemburg, W. A. J. (1977) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200519-134358780">Non-Standard Analysis</a>; ISBN 978-94-010-1140-2; Logic, Foundations of Mathematics, and Computability Theory; 107-119; <a href="https://doi.org/10.1007/978-94-010-1138-9_6">10.1007/978-94-010-1138-9_6</a></li> <li>Luxemburg, W. A. J. (1976) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854296">On a class of valuation fields introduced by A. Robinson</a>; Israel Journal of Mathematics; Vol. 25; No. 3-4; 189-201; <a href="https://doi.org/10.1007/bf02756999">10.1007/bf02756999</a></li> <li>Luxemburg, W. A. J. (1975) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-135412183">On an infinite series of Abel occurring in the theory of interpolation</a>; Journal of Approximation Theory; Vol. 13; No. 4; 363-374; <a href="https://doi.org/10.1016/0021-9045(75)90020-9">10.1016/0021-9045(75)90020-9</a></li> <li>Luxemburg, W. A. J. (1974) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155855059">Closure properties of sequences of exponentals { exp (i λ_n t) }</a>; ISBN 9783540069652; Topics in Analysis: Colloquium on Mathematical Analysis Jyväskylä 1970; 268-283; <a href="https://doi.org/10.1007/bfb0064735">10.1007/bfb0064735</a></li> <li>Luxemburg, W. A. J. (1973) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-135810847">What is nonstandard analysis?</a>; American Mathematical Monthly; Vol. 80; No. 6; 38-67; <a href="https://doi.org/10.2307/3038221">10.2307/3038221</a></li> <li>Luxemburg, W. A. J. (1972) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-140410509">On an inequality of A. Khintchine for zero-one matrices</a>; Journal of Combinatorial Theory. Series A; Vol. 12; No. 2; 289-296; <a href="https://doi.org/10.1016/0097-3165(72)90043-X">10.1016/0097-3165(72)90043-X</a></li> <li>Luxemburg, W. A. J. (1971) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-140756074">Arzela's Dominated Convergence Theorem for the Riemann Integral</a>; American Mathematical Monthly; Vol. 78; No. 9; 970-979; <a href="https://doi.org/10.2307/2317801">10.2307/2317801</a></li> <li>Luxemburg, W. A. J. and Korevaar, J. (1971) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-141126373">Entire Functions and Muntz-Szasz Type Approximation</a>; Transactions of the American Mathematical Society; Vol. 157; No. 6; 23-37; <a href="https://doi.org/10.2307/1995828">10.2307/1995828</a></li> <li>Luxemburg, W. A. J. (1968) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854959">On some order properties of Riesz spaces and their relations</a>; Archiv der Mathematik; Vol. 19; No. 5; 488-493; <a href="https://doi.org/10.1007/bf01898770">10.1007/bf01898770</a></li> <li>Luxemburg, W. A. J. (1967) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-143334534">Is every integral normal?</a>; Bulletin of the American Mathematical Society; Vol. 73; No. 5; 685-688; <a href="https://doi.org/10.1090/S0002-9904-1967-11825-1">10.1090/S0002-9904-1967-11825-1</a></li> <li>Luxemburg, W. A. J. and Masterson, J. J. (1967) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-142824090">An extension of the concept of the order dual of a Riesz space</a>; Canadian Journal of Mathematics; Vol. 19; No. 1; 488-498; <a href="https://doi.org/10.4153/CJM-1967-041-6">10.4153/CJM-1967-041-6</a></li> <li>Luxemburg, W. A. J. and Moore Jr., L. C., Jr. (1967) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-141551161">Archimedean quotient Riesz spaces</a>; Duke Mathematical Journal; Vol. 34; No. 4; 725-739; <a href="https://doi.org/10.1215/S0012-7094-67-03475-8">10.1215/S0012-7094-67-03475-8</a></li> <li>Luxemburg, W. A. J. and Zaanen, A. C. (1966) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854579">Some examples of normed Köthe spaces</a>; Mathematische Annalen; Vol. 162; No. 3; 337-350; <a href="https://doi.org/10.1007/bf01369107">10.1007/bf01369107</a></li> <li>Luxemburg, W. A. J. and Zaanen, A. C. (1966) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854393">Some Examples of Normed Köthe Spaces</a>; ISBN 9783642859991; Contributions to Functional Analysis; 337-350; <a href="https://doi.org/10.1007/978-3-642-85997-7_22">10.1007/978-3-642-85997-7_22</a></li> <li>Luxemburg, W. A. J. (1964) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-144613726">On Finitely Additive Measures in Boolean Algebras</a>; Journal für die reine und angewandte Mathematik; Vol. 213; 165-173; <a href="https://doi.org/10.1515/crll.1964.213.165">10.1515/crll.1964.213.165</a></li> <li>Luxemburg, W. A. J. (1964) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-143713456">A remark on Sikorski's extension theorem for homomorphisms in the theory of Boolean algebras</a>; Fundamenta Mathematicae; Vol. 55; 239-247; <a href="https://doi.org/10.4064/fm-55-3-239-247">10.4064/fm-55-3-239-247</a></li> <li>Luxemburg, W. A. J. and Zaanen, A. C. (1963) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854668">Compactness of integral operators in Banach function spaces</a>; Mathematische Annalen; Vol. 149; No. 2; 150-180; <a href="https://doi.org/10.1007/bf01349240">10.1007/bf01349240</a></li> <li>Luxemburg, W. A. J. (1962) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-145207989">A Property of the Fourier Coefficients of an Integrable Function</a>; American Mathematical Monthly; Vol. 69; No. 2; 94-98; <a href="https://doi.org/10.2307/2312535">10.2307/2312535</a></li> <li>Luxemburg, W. A. J. (1962) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-145540187">Two applications of the method of construction by ultrapowers to anaylsis</a>; Bulletin of the American Mathematical Society; Vol. 68; No. 4; 416-419; <a href="https://doi.org/10.1090/S0002-9904-1962-10824-6">10.1090/S0002-9904-1962-10824-6</a></li> <li>Hull, T. E. and Luxemburg, W. A. J. (1960) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854757">Numerical methods and existence theorems for ordinary differential equations</a>; Numerische Mathematik; Vol. 2; No. 1; 30-41; <a href="https://doi.org/10.1007/bf01386206">10.1007/bf01386206</a></li> <li>Luxemburg, W. A. J. (1960) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181003-155854862">A remark on R. R. PHELPS' paper "subreflexive normed linear spaces"</a>; Archiv der Mathematik; Vol. 11; No. 1; 192-193; <a href="https://doi.org/10.1007/bf01236931">10.1007/bf01236931</a></li> <li>Luxemburg, W. A. J. (1958) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-150532893">On the convergence of successive approximations in the theory of ordinary differential equations</a>; Canadian Mathematical Bulletin; Vol. 1; No. 1; 9-20; <a href="https://doi.org/10.4153/CMB-1958-003-5">10.4153/CMB-1958-003-5</a></li> <li>Halperin, Israel and Luxemburg, W. A. J. (1957) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181009-151135685">Reflexivity of the length function</a>; Proceedings of the American Mathematical Society; Vol. 8; 496-499; <a href="https://doi.org/10.1090/S0002-9939-1957-0087903-X">10.1090/S0002-9939-1957-0087903-X</a></li> </ul>