Description: Essential Results of Functional AnalysisAuthor(s): Robert J. Zimmer Format: Paperback Publisher: The University of Chicago Press, United States Imprint: University of Chicago Press ISBN-13: 9780226983387, 978-0226983387 Synopsis Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics. This book, based on a first-year graduate course taught by Robert J. Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of functional analysis. It introduces essential notions and results from many areas of mathematics to which functional analysis makes important contributions, and it demonstrates the unity of perspective and technique made possible by the functional analytic approach. Zimmer provides an introductory chapter summarizing measure theory and the elementary theory of Banach and Hilbert spaces, followed by a discussion of various examples of topological vector spaces, seminorms defining them, and natural classes of linear operators. He then presents basic results for a wide range of topics: convexity and fixed point theorems, compact operators, compact groups and their representations, spectral theory of bounded operators, ergodic theory, commutative C*-algebras, Fourier transforms, Sobolev embedding theorems, distributions, and elliptic differential operators. In treating all of these topics, Zimmer's emphasis is not on the development of all related machinery or on encyclopedic coverage but rather on the direct, complete presentation of central theorems and the structural framework and examples needed to understand them. Sets of exercises are included at the end of each chapter. For graduate students and researchers in mathematics who have mastered elementary analysis, this book is an entree and reference to the full range of theory and applications in which functional analysis plays a part. For physics students and researchers interested in these topics, the lectures supply a thorough mathematical grounding.
Price: 24.72 GBP
Location: Aldershot
End Time: 2025-02-06T21:22:23.000Z
Shipping Cost: 27.3 GBP
Product Images
Item Specifics
Return postage will be paid by: Buyer
Returns Accepted: Returns Accepted
After receiving the item, your buyer should cancel the purchase within: 60 days
Return policy details:
Book Title: Essential Results of Functional Analysis
Number of Pages: 168 Pages
Language: English
Publication Name: Essential Results of Functional Analysis
Publisher: T.H.E. University of Chicago Press
Publication Year: 1990
Subject: Mathematics
Item Height: 206 mm
Item Weight: 206 g
Type: Textbook
Author: Robert J. Zimmer
Series: Chicago Lectures in Mathematics Series Clm (Chup)
Item Width: 138 mm
Format: Paperback
