Introduction to Functional Analysis by Dietmar Vogt

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Introduction to Functional Analysis by Dietmar Vogt

Introduction to Functional Analysis (Oxford Graduate Texts in Mathematics) by Dietmar Vogt
English | Oct 9, 1997 | ISBN: 0198514859 | 447 Pages | DJVU | 1 MB

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.








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Tags: Introduction, Functional, Analysis, Dietmar

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