Introduction to Functional Analysis (Hardcover) (ISBN-13: 9780198514855)

This book was written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces, it proceeds quickly to the central results of the field, including the theorem of Hahn-Banach. The spaces (p Lp (X, (), C(X)' and Sebolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C-algebras, and the spectral representation for bounded normal and unbounded self-adjoint operators for Hilbert spaces. A discussion of locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Frechet spaces and their duals

Author: Reinhold Meise, Dietmar Vogt, M. S. Ramanujan
ISBN-10: 0198514859
ISBN-13: 9780198514855
Publisher: Clarendon Press
Language: English
Published: 10/09/1997
Pages: 448
Format: Hardcover
Weight: 1.82lbs
Size: 9.46h x 6.50w x 1.17d