Topological Vector Spaces and Algebras

Topological Vector Spaces and Algebras PDF

Author: Lucien Waelbroeck

Publisher: Springer

Published: 2006-11-15

Total Pages: 165

ISBN-13: 3540369384

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The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.

Topological Vector Spaces, Algebras and Related Areas

Topological Vector Spaces, Algebras and Related Areas PDF

Author: A Lau

Publisher: CRC Press

Published: 1995-05-15

Total Pages: 284

ISBN-13: 9780582257771

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This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.

Topological Vector Spaces and Their Applications

Topological Vector Spaces and Their Applications PDF

Author: V.I. Bogachev

Publisher: Springer

Published: 2017-05-16

Total Pages: 456

ISBN-13: 3319571176

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This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

Topological Vector Spaces

Topological Vector Spaces PDF

Author: H.H. Schaefer

Publisher: Springer Science & Business Media

Published: 1999-06-24

Total Pages: 376

ISBN-13: 9780387987262

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Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since the book is mainly addressed to those readers who wish to go beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises, which in turn are devoted to further results and supplements, in particular, to examples and counter-examples, and hints have been given where appropriate. This second edition has been thoroughly revised and includes a new chapter on C^* and W^* algebras.

Topological Vector Spaces

Topological Vector Spaces PDF

Author: N. Bourbaki

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 368

ISBN-13: 3642617158

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This is a softcover reprint of the 1987 English translation of the second edition of Bourbaki's Espaces Vectoriels Topologiques. Much of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, reflecting decades of progress in the field.

Topological Vector Spaces and Distributions

Topological Vector Spaces and Distributions PDF

Author: John Horvath

Publisher: Courier Corporation

Published: 2012-01-01

Total Pages: 466

ISBN-13: 0486488500

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"The most readable introduction to the theory of vector spaces available in English and possibly any other language."—J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.The precise exposition of the first three chapters—covering Banach spaces, locally convex spaces, and duality—provides an excellent summary of the modern theory of locally convex spaces. The fourth and final chapter develops the theory of distributions in relation to convolutions, tensor products, and Fourier transforms. Augmented with many examples and exercises, the text includes an extensive bibliography.Reprint of the Addison-Wesley Publishing Company, Reading, Massachusetts, 1966 edition.

Topological Algebras

Topological Algebras PDF

Author: A. Mallios

Publisher: Elsevier

Published: 2011-08-18

Total Pages: 534

ISBN-13: 9780080872353

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This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results. The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.

Modern Methods in Topological Vector Spaces

Modern Methods in Topological Vector Spaces PDF

Author: Albert Wilansky

Publisher: Courier Corporation

Published: 2013-01-01

Total Pages: 324

ISBN-13: 0486493539

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"Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--

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