Overview
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: Vogt Meise
- | Publisher: OUP Oxford
- | Publication Date: Oct 09, 1997
- | Number of Pages: 448 pages
- | Binding: Hardback or Cased Book
- | ISBN-10: 0198514859
- | ISBN-13: 9780198514855
