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Introduction to Functional Analysis on Hardback by Reinhold Meise
Introduction to Functional Analysis on Hardback by Reinhold Meise
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Introduction to Functional Analysis

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Description

The book is 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 HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov 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 in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Frechet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Frechet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.
Release date Australia
July 31st, 1997
Audience
  • Tertiary Education (US: College)
Contributor
  • Translated by M.S. Ramanujan
Pages
448
Dimensions
162x242x28
ISBN-13
9780198514855
Product ID
2008185

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Books >
Non-Fiction >
Maths & Science >
Mathematics >
Calculus & mathematical analysis >
Functional analysis
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Non-Fiction >
Maths & Science >
Mathematics >
Calculus & mathematical analysis >
Functional analysis & transforms