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Author : Albert Wilansky
Release : 1978
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Modern Methods in Topological Vector Spaces by : Albert Wilansky
Download or read book Modern Methods in Topological Vector Spaces written by Albert Wilansky. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert Wilansky
Release : 2013-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 539/5 ( reviews)
Book Synopsis Modern Methods in Topological Vector Spaces by : Albert Wilansky
Download or read book Modern Methods in Topological Vector Spaces written by Albert Wilansky. This book was released on 2013-01-01. Available in PDF, EPUB and Kindle. Book excerpt: "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"--
Author : Gottfried Köthe
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 882/5 ( reviews)
Book Synopsis Topological Vector Spaces I by : Gottfried Köthe
Download or read book Topological Vector Spaces I written by Gottfried Köthe. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Lawrence Narici
Release : 2010-07-26
Genre : Mathematics
Kind : eBook
Book Rating : 679/5 ( reviews)
Book Synopsis Topological Vector Spaces by : Lawrence Narici
Download or read book Topological Vector Spaces written by Lawrence Narici. This book was released on 2010-07-26. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : V.I. Bogachev
Release : 2017-05-16
Genre : Mathematics
Kind : eBook
Book Rating : 176/5 ( reviews)
Book Synopsis Topological Vector Spaces and Their Applications by : V.I. Bogachev
Download or read book Topological Vector Spaces and Their Applications written by V.I. Bogachev. This book was released on 2017-05-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.
