Introduction to Functional Analysis: 2 - Rilegato

Meise, Reinhold; Vogt, Dietmar

 
9780198514855: Introduction to Functional Analysis: 2
Rilegato
ISBN 10: 0198514859 ISBN 13: 9780198514855
Casa editrice: OUP Oxford, 1997

Sinossi

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 Fréchet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

The book can be warmly recommended to graduate students of mathematics and physics and also everybody interested in functional analysis.

Contenuti

  • Preliminaries
  • 1: Banach spaces and Metric Linear Spaces
  • 2: Spectral of Theory Linear Operators
  • 3: Fréchet Spaces and their Dual Spaces

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
OUP Oxford
Data di pubblicazione
1997
Lingua
Inglese
ISBN 10 
0198514859
ISBN 13 
9780198514855
Rilegatura
Copertina rigida
Numero di pagine
448
Contatto del produttore
Messaggerie Libri
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