Description

Book Synopsis
Based on courses taught by the author at Moscow State University, this book features such topics as the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. It contains many examples illustrating the general theory presented, as well as multiple exercises to help the reader.

Table of Contents
Foundations: Categories and the like Normed spaces and bounded operators ("Waiting for completeness") Banach spaces and their advantages From compact spaces to Fredholm operators Polynormed spaces, weak topologies, and generalized functions At the gates of spectral theory Hilbert adjoint operators and the spectral theorem Fourier transform Bibliography Index.

Lectures and Exercises on Functional Analysis

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    A Hardback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 8/30/2006 12:00:00 AM
      ISBN13: 9780821840986, 978-0821840986
      ISBN10: 0821840983

      Description

      Book Synopsis
      Based on courses taught by the author at Moscow State University, this book features such topics as the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. It contains many examples illustrating the general theory presented, as well as multiple exercises to help the reader.

      Table of Contents
      Foundations: Categories and the like Normed spaces and bounded operators ("Waiting for completeness") Banach spaces and their advantages From compact spaces to Fredholm operators Polynormed spaces, weak topologies, and generalized functions At the gates of spectral theory Hilbert adjoint operators and the spectral theorem Fourier transform Bibliography Index.

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