Introduction to Functional Analysis

Name: Introduction to Functional Analysis
Brand: Oxford University Press
SKU: 9780198514855
Price: 803.22 RON
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Autor: Dietmar Vogt, Reinhold Meise

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Editura: Oxford University Press

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

Informații despre carte

Autor

Dietmar Vogt, Reinhold Meise

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1997

Pagini

448

EAN

9780198514855

ISBN

0198514859

Enbook ID

04527026

Editura

Oxford University Press

Greutate

757

Dimensiuni

162 x 242 x 28

Descriere completă

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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