Topological Vector Spaces
By: by H.H. Schaefer, M.P. Wolff
Contributors: Wolff, M. P.
Edition: Second edition.
Series: Graduate Texts in Mathematics, 0072-5285 -- 3; Graduate texts in mathematics -- 3.
Publisher: Springer New York; Imprint; Springer
Published: 1999
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 368
ISBN-13: 9781461214687
Description: This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and wish to get beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises. These exercises are devoted to further results and supplements, in particular, to examples and counter-examples. Hints have been given where it seemed appropriate. This second edition has been thoroughly revised and includes a new chapter on C * and W * algebras.
Table of contents: title: Prerequisites; title: Topological Vector Spaces; title: Locally Convex Topological Vector Spaces; title: Linear Mappings; title: Duality; title: Order Structures; title: Spectral Properties of Positive Operators; title: C * and W * Algebras.