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Birkhäuser

Functional Analysis

Vol.II

  • Book
  • © 1996

Overview

Authors:
  1. Yurij M. Berezansky

    1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

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    You can also search for this author in PubMed   Google Scholar

  2. Zinovij G. Sheftel

    1. Department of Mathematics, Pedagogical Institute, Chernigov, Ukraine

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    You can also search for this author in PubMed   Google Scholar

  3. Georgij F. Us

    1. Mechanics and Mathematics Faculty, Kiev University, Kiev, Ukraine

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 86)

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About this book

Functional Analysis is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathemati- cal physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more ad- vanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. General Theory of Unbounded Operators in Hilbert Spaces

    • Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 1-40

  3. Spectral Decampositions of Selfadjoint, Unitary, and Normal Operators. Criteria of Selfadjointness

    • Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 41-116

  4. Rigged Spaces

    • Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 117-184

  5. Expansion in Generalized Eigenvectors

    • Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 185-210

  6. Differential Operators

    • Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 211-279

  7. Back Matter

    Pages 281-293
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Authors and Affiliations

  • Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    Yurij M. Berezansky

  • Department of Mathematics, Pedagogical Institute, Chernigov, Ukraine

    Zinovij G. Sheftel

  • Mechanics and Mathematics Faculty, Kiev University, Kiev, Ukraine

    Georgij F. Us

Bibliographic Information

  • Book Title: Functional Analysis

  • Book Subtitle: Vol.II

  • Authors: Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-9024-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 1996

  • Hardcover ISBN: 978-3-7643-5345-2Due: 28 March 1996

  • Softcover ISBN: 978-3-0348-9872-0Published: 18 September 2011

  • eBook ISBN: 978-3-0348-9024-3Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: 293

  • Topics: Functional Analysis, Analysis

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