Luxemburg, W. A. J. 1929
Overview
Works:  85 works in 260 publications in 4 languages and 3,221 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Thesis advisor, Contributor, Author of introduction, Creator 
Classifications:  QA299.82, 515 
Publication Timeline
.
Most widely held works about
W. A. J Luxemburg
 Two notes on W.A.J. Luxemburg's asymptotic problem concerning the Laplace transform by P. P. B Eggermont( Book )
Most widely held works by
W. A. J Luxemburg
Introduction to the theory of infinitesimals by
K. D Stroyan(
Book
)
25 editions published between 1975 and 1979 in English and held by 651 WorldCat member libraries worldwide
25 editions published between 1975 and 1979 in English and held by 651 WorldCat member libraries worldwide
Riesz spaces by
W. A. J Luxemburg(
Book
)
37 editions published between 1971 and 1983 in 3 languages and held by 562 WorldCat member libraries worldwide
37 editions published between 1971 and 1983 in 3 languages and held by 562 WorldCat member libraries worldwide
Applications of model theory to algebra, analysis, and probability by
Analysis, and Probability (1967, Pasadena, Calif.) International Symposium on the Applications of Model Theory to Algebra(
Book
)
15 editions published in 1969 in English and German and held by 458 WorldCat member libraries worldwide
15 editions published in 1969 in English and German and held by 458 WorldCat member libraries worldwide
Contributions to nonstandard analysis by
W. A. J Luxemburg(
Book
)
21 editions published between 1972 and 2000 in English and Undetermined and held by 394 WorldCat member libraries worldwide
Provability, Computability and Reflection
21 editions published between 1972 and 2000 in English and Undetermined and held by 394 WorldCat member libraries worldwide
Provability, Computability and Reflection
Positive operators, Riesz spaces, and economics : proceedings of a conference at Caltech, Pasadena, California, April 1620,
1990 by
Charalambos D Aliprantis(
Book
)
9 editions published in 1991 in English and Italian and held by 135 WorldCat member libraries worldwide
Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 1620, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the weeklong conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence
9 editions published in 1991 in English and Italian and held by 135 WorldCat member libraries worldwide
Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 1620, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the weeklong conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence
Advances in analysis, probability, and mathematical physics : contributions of nonstandard analysis by
Sergio Albeverio(
Book
)
9 editions published between 1995 and 2011 in English and held by 125 WorldCat member libraries worldwide
This volume can be used as a complementary text to courses in Nonstandard Analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics
9 editions published between 1995 and 2011 in English and held by 125 WorldCat member libraries worldwide
This volume can be used as a complementary text to courses in Nonstandard Analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics
Banach function spaces by
W. A. J Luxemburg(
Book
)
12 editions published in 1955 in 3 languages and held by 64 WorldCat member libraries worldwide
12 editions published in 1955 in 3 languages and held by 64 WorldCat member libraries worldwide
Nonstandard analysis; lectures on A. Robinson's theory of infinitesimals and infinitely large numbers, by W.A.J. Luxemburg by
W. A. J Luxemburg(
Book
)
13 editions published between 1962 and 1973 in English and held by 60 WorldCat member libraries worldwide
13 editions published between 1962 and 1973 in English and held by 60 WorldCat member libraries worldwide
Positive operators and semigroups on Banach lattices : proceedings of a Caribbean Mathematics Foundation conference, 1990 by
C. B Huijsmans(
Book
)
5 editions published in 1992 in English and held by 47 WorldCat member libraries worldwide
During the last twentyfive years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation, and provide an overview of the present state of development of various areas of the theory of positive operators and their spectral properties. This book will be of interest to analysts whose work involves positive matrices and positive operators
5 editions published in 1992 in English and held by 47 WorldCat member libraries worldwide
During the last twentyfive years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation, and provide an overview of the present state of development of various areas of the theory of positive operators and their spectral properties. This book will be of interest to analysts whose work involves positive matrices and positive operators
Some aspects of the theory of Riesz spaces by
W. A. J Luxemburg(
Book
)
4 editions published between 1979 and 1988 in English and held by 40 WorldCat member libraries worldwide
4 editions published between 1979 and 1988 in English and held by 40 WorldCat member libraries worldwide
Analysis and geometry : trends in research and teaching(
Book
)
5 editions published in 1992 in English and held by 33 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 33 WorldCat member libraries worldwide
Selected papers of Abraham Robinson by
Abraham Robinson(
Book
)
7 editions published in 1979 in English and held by 27 WorldCat member libraries worldwide
7 editions published in 1979 in English and held by 27 WorldCat member libraries worldwide
Selected papers of Abraham Robinson by
Abraham Robinson(
Book
)
8 editions published in 1979 in English and held by 24 WorldCat member libraries worldwide
8 editions published in 1979 in English and held by 24 WorldCat member libraries worldwide
Riesz spaces II by
Adriaan C Zaanen(
Book
)
2 editions published in 1983 in English and held by 17 WorldCat member libraries worldwide
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary
2 editions published in 1983 in English and held by 17 WorldCat member libraries worldwide
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary
Nonstandard analysis by
Abraham Robinson(
Book
)
4 editions published in 1979 in English and held by 16 WorldCat member libraries worldwide
Provability, Computability and Reflection
4 editions published in 1979 in English and held by 16 WorldCat member libraries worldwide
Provability, Computability and Reflection
Contributions to nonstandard analysis : lectures given at the Symposium on Nonstandard Analysis which took place in Oberwolfach
during the period July 19  July 25, 1970(
Book
)
1 edition published in 1972 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1972 in English and held by 10 WorldCat member libraries worldwide
Applications of model theory to algebra, analysis, and probability : proceedings of the International Symposium on the Applications
of Model Theory to Algebra, Analysis, and Probability ... at the California Institute of Technology ... from May 23 to 26,
1967(
Book
)
1 edition published in 1969 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 10 WorldCat member libraries worldwide
A new approach to the theory of monads by
W. A. J Luxemburg(
Book
)
1 edition published in 1967 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 8 WorldCat member libraries worldwide
Riesz spaces by
W. A. J Luxemburg(
Book
)
in English and Dutch and held by 5 WorldCat member libraries worldwide
in English and Dutch and held by 5 WorldCat member libraries worldwide
Operator theory in function spaces and Banach lattices : essays dedicated to A.C. Zaanen on the occasion of his 80th birthday by
C. B Huijsmans(
Book
)
4 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics
4 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics
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Related Identities
 Stroyan, K. D. Author
 Zaanen, Adriaan C. (Adriaan Cornelis) 1913 Author Dedicatee
 Robinson, Abraham 19181974 Other Author Editor
 California Institute of Technology
 Border, Kim C. Editor
 Αλιπραντής, Χαράλαμπος Δ Author Editor
 Albeverio, Sergio Author Editor
 Wolff, Manfred P. H. 1939 Editor
 Huijsmans, C. B. Author Editor
 Keisler, H. Jerome
Useful Links
Associated Subjects
Algebra Banach lattices Calculus ChemistryMathematics Differential equations, Partial Economics Economics, Mathematical Engineering Equilibrium (Economics) Functional analysis Functions Function spaces Game theory Generalized spaces Geometry Global analysis (Mathematics) Laplace transformation Lattice theory Logic, Symbolic and mathematical Luxemburg, W. A. J., Mathematical analysis Mathematical models Mathematics MathematicsPhilosophy Model theory Nonstandard mathematical analysis Number theory Operations research Operator theory Positive operators Riesz spaces Robinson, Abraham, Semigroups of operators Spectral theory (Mathematics) Statistics Transfinite numbers Triples, Theory of Vector spaces
Alternative Names
Luxemburg, W. A.
Luxemburg, W. A. J.
Luxemburg, Wilhelm 1929
Luxemburg, Wilhelm A.
Luxemburg, Wilhelm A. J.
Luxemburg, Wilhelm A. J. 1929
Luxemburg, Wilhelm, A. J. (Wilhelm Anthonius Josephus), 1929
Luxemburg, Wilhelmus A. 1929
Luxemburg, Wilhelmus Anthonius Josephus 1929
Luxemburg, Wilhelmus Antonius Josephus 1929
Luxemburg, Wim A. J. 1929
Wilhelmus Luxemburg niederlndischer Mathematiker
Wilhelmus Luxemburg Professor of Mathematics
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