Книга Introduction to Functional Analysis Introduction to Functional Analysis Книги Математика Автор: Reinhold Meise, Dietmar Vogt Год издания: 1997 Формат: pdf Издат.:Oxford University Press, USA Страниц: 448 Размер: 14 ISBN: 0198514859 Язык: Английский0 (голосов: 0) Оценка: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.