Modern Methods in Topological Vector Spaces

Modern Methods in Topological Vector Spaces PDF Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486493539
Category : Mathematics
Languages : en
Pages : 324

Get Book Here

Book Description
"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"--

Modern Methods in Topological Vector Spaces

Modern Methods in Topological Vector Spaces PDF Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486493539
Category : Mathematics
Languages : en
Pages : 324

Get Book Here

Book Description
"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"--

Sequences in Topological Vector Spaces

Sequences in Topological Vector Spaces PDF Author: Raymond Fletcher Snipes
Publisher:
ISBN:
Category : Linear topological spaces
Languages : en
Pages : 310

Get Book Here

Book Description


Topological Vector Spaces I

Topological Vector Spaces I PDF Author: Gottfried Köthe
Publisher: Springer Science & Business Media
ISBN: 3642649882
Category : Mathematics
Languages : en
Pages : 470

Get Book Here

Book Description
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.

Topological Vector Spaces

Topological Vector Spaces PDF Author: Lawrence Narici
Publisher: CRC Press
ISBN: 1584888679
Category : Mathematics
Languages : en
Pages : 628

Get Book Here

Book Description
With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v

Topological Vector Spaces and Distributions

Topological Vector Spaces and Distributions PDF Author: John Horvath
Publisher: Courier Corporation
ISBN: 0486311031
Category : Mathematics
Languages : en
Pages : 466

Get Book Here

Book Description
Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966 edition.

Topological Vector Spaces and Algebras

Topological Vector Spaces and Algebras PDF Author: Lucien Waelbroeck
Publisher: Springer
ISBN: 3540369384
Category : Mathematics
Languages : en
Pages : 165

Get Book Here

Book Description
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.

Henstock-Kurzweil Integration

Henstock-Kurzweil Integration PDF Author: Jaroslav Kurzweil
Publisher: World Scientific
ISBN: 9789810242077
Category : Mathematics
Languages : en
Pages : 152

Get Book Here

Book Description
"the results of the book are very interesting and profound and can be read successfully without preliminary knowledge. It is written with a great didactical mastery, clearly and precisely It can be recommended not only for specialists on integration theory, but also for a large scale of readers, mainly for postgraduate students".Mathematics Abstracts

Topological Vector Spaces I

Topological Vector Spaces I PDF Author: Gottfried Köthe
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 176

Get Book Here

Book Description
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.

Topological Vector Spaces and Their Applications

Topological Vector Spaces and Their Applications PDF Author: V.I. Bogachev
Publisher: Springer
ISBN: 3319571176
Category : Mathematics
Languages : en
Pages : 466

Get Book Here

Book Description
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: Alex P. Robertson
Publisher: CUP Archive
ISBN: 9780521298827
Category : Mathematics
Languages : en
Pages : 186

Get Book Here

Book Description