Introduction to Functional Analysis

Name: Introduction to Functional Analysis
Brand: Oxford University Press
SKU: 9780198514855
Price: 3544 CZK
Availability: InStock

Autor: Dietmar Vogt, Reinhold Meise

Jazyk:

Vazba: Pevná

Vydavatel: Oxford University Press

Dostupnost: Skladem u dodavatele

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The book is written for students of mathematics and physics who have a basic knowledge of analysis a...

Informace o knize

Autor

Dietmar Vogt, Reinhold Meise

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

1997

Stránek

448

EAN

9780198514855

ISBN

0198514859

Enbook ID

04527026

Vydavatel

Oxford University Press

Hmotnost

757

Rozměry

162 x 242 x 28

Kompletní popis

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.

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Introduction to Functional Analysis

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