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 vector-valued Hahn–Banach theorems. It also considers different approaches to the Banach–Stone theorem as well as variations of the theorem.
The book covers locally convex spaces; barreled, bornological, and webbed spaces; and reflexivity. It traces the development of various theorems from their earliest beginnings to present day, providing historical notes to place the results in context. The authors also chronicle the lives of key mathematicians, including Stefan Banach and Eduard Helly.
Suitable for both beginners and experienced researchers, this book contains an abundance of examples, exercises of varying levels of difficulty with many hints, and an extensive bibliography and index.
Lawrence Narici and Edward Beckenstein are professors of mathematics at St. John’s University in New York.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : El Gato de Papel, MOUNTAINSIDE, NJ, Etats-Unis
Hardcover. Etat : Very Good. 1st Edition. Hardcover book in VERY GOOD condition. Actual book is pictured. See images provided. Previous owner's name written on title page. Besides that, all pages are clean without any marks, notations, or folds. Tight binding. 1st edition, 1985. 408 pages. Synopsis Topological Vector Spaces provides a detailed survey of functional analysis. It covers such basic principles as the Banach-Steinhaus . Hahn-Banach . and Krein-Milman -- and includes a closed graph theorem with an introduction to webbed spaces. Supplemented by numerous examples and exercises, this volume provides a solid foundation for anyone interested in distribution theory. Topological Vector Spaces is important reading for analysts, physicists and engineers interested in distribution theory, and graduate-level and professional researchers in functional analysis. About the Author Lawrence Narici and Edward Beckenstein are professors of mathematics at St. John's University in New York. "About this title" may belong to another edition of this title. N° de réf. du vendeur ABE-1751322387903
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