Luxemburg, W. A. J. 1929
Overview
Works:  75 works in 222 publications in 3 languages and 3,106 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Thesis advisor, Contributor, Author of introduction, Creator 
Classifications:  QA3, 515.73 
Publication Timeline
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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 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
)
26 editions published between 1975 and 1979 in English and held by 803 WorldCat member libraries worldwide
26 editions published between 1975 and 1979 in English and held by 803 WorldCat member libraries worldwide
Riesz spaces
by
W. A. J Luxemburg(
Book
)
29 editions published between 1971 and 1983 in English and Undetermined and held by 592 WorldCat member libraries worldwide
29 editions published between 1971 and 1983 in English and Undetermined and held by 592 WorldCat member libraries worldwide
Contributions to nonstandard analysis
by
W. A. J Luxemburg(
Book
)
19 editions published between 1972 and 2000 in English and Undetermined and held by 499 WorldCat member libraries worldwide
Provability, Computability and Reflection
19 editions published between 1972 and 2000 in English and Undetermined and held by 499 WorldCat member libraries worldwide
Provability, Computability and Reflection
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
)
12 editions published in 1969 in English and German and held by 453 WorldCat member libraries worldwide
12 editions published in 1969 in English and German and held by 453 WorldCat member libraries worldwide
Positive operators, Riesz spaces, and economics : proceedings of a conference at Caltech, Pasadena, California, April 1620, 1990
by
Charalambos D Aliprantis(
Book
)
7 editions published in 1991 in English and held by 147 WorldCat member libraries worldwide
The volume contains the proceedings of a conference in ma thematical economics held at the California Institute of Technology, April 1620, 1990.The theme of the conference was to explore the functional analytic techniques (and in particular the theory of Riesz spaces and positive opera tors) that are employed in economics. The articles in the book depict this important connection and open the way for more economic applications
7 editions published in 1991 in English and held by 147 WorldCat member libraries worldwide
The volume contains the proceedings of a conference in ma thematical economics held at the California Institute of Technology, April 1620, 1990.The theme of the conference was to explore the functional analytic techniques (and in particular the theory of Riesz spaces and positive opera tors) that are employed in economics. The articles in the book depict this important connection and open the way for more economic applications
Advances in analysis, probability, and mathematical physics : contributions of nonstandard analysis
by Sergio A Albeverio(
Book
)
8 editions published between 1995 and 2011 in English and held by 144 WorldCat member libraries worldwide
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he named 'Nonstandard Analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the firstorder theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics
8 editions published between 1995 and 2011 in English and held by 144 WorldCat member libraries worldwide
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he named 'Nonstandard Analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the firstorder theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics
Banach function spaces
by
W. A. J Luxemburg(
Book
)
10 editions published in 1955 in 3 languages and held by 71 WorldCat member libraries worldwide
10 editions published in 1955 in 3 languages and held by 71 WorldCat member libraries worldwide
Positive operators and semigroups on Banach lattices : proceedings of a Caribbean Mathematics Foundation conference, 1990
by
C. B Huijsmans(
Book
)
4 editions published in 1992 in English and held by 67 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
4 editions published in 1992 in English and held by 67 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
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
)
12 editions published between 1962 and 1973 in English and held by 60 WorldCat member libraries worldwide
12 editions published between 1962 and 1973 in English and held by 60 WorldCat member libraries worldwide
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 41 WorldCat member libraries worldwide
4 editions published between 1979 and 1988 in English and held by 41 WorldCat member libraries worldwide
Analysis and geometry : trends in research and teaching
(
Book
)
5 editions published in 1992 in English and held by 34 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 34 WorldCat member libraries worldwide
Selected papers of Abraham Robinson
by
Abraham Robinson(
Book
)
5 editions published in 1979 in English and held by 22 WorldCat member libraries worldwide
5 editions published in 1979 in English and held by 22 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(
)
3 editions published in 1995 in English and held by 22 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
3 editions published in 1995 in English and held by 22 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
Selected papers of Abraham Robinson
by
Abraham Robinson(
Book
)
6 editions published in 1979 in English and held by 21 WorldCat member libraries worldwide
6 editions published in 1979 in English and held by 21 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
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
Nonstandard analysis and philosophy
by
Abraham Robinson(
Book
)
3 editions published in 1979 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 1979 in English and held by 10 WorldCat member libraries worldwide
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
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
)
5 editions published in 1971 in 3 languages and held by 7 WorldCat member libraries worldwide
5 editions published in 1971 in 3 languages and held by 7 WorldCat member libraries worldwide
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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
 Wolff, Manfred P. H. 1939 Editor
 Albeverio, Sergio Editor
 Huijsmans, C. B. Author Editor
 Caribbean Mathematics Foundation
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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 Mathematical analysis Mathematical models Mathematics MathematicsPhilosophy Model theory Nonstandard mathematical analysis Number theory Operations research Operator theory Positive operators Riesz spaces 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
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