Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Functional Analysis

Vol. I

  • Book
  • © 1996

Overview

Authors:
  1. Yuri M. Berezansky

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Zinovij G. Sheftel

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

    View author publications

    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 85)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Measure Theory

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 1-65

  3. Measurable Functions

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 67-88

  4. Theory of Integration

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 89-132

  5. Measures in the Products of Spaces. Fubini Theorem

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 133-145

  6. Absolute Continuity and Singularity of Measures, Charges, and Functions. Radon-Nikodym Theorem. Change of Variables in the Lebesgue Integral

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 147-176

  7. Linear Normed Spaces and Hilbert Spaces

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 177-214

  8. Linear Continuous Functionals and Dual Spaces

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 215-271

  9. Linear Continuous Operators

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 273-320

  10. Compact Operators. Equations with Compact Operators

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 321-354

  11. Spectral Decomposition of Compact Selfadjoint Operators. Analytic Functions of Operators

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 355-384

  12. Elements of the Theory of Generalized Functions

    • Yuri M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 385-410

  13. Back Matter

    Pages 411-423
    Download chapter PDF
Back to top

Keywords

About this book

"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical 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 advanced 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.

Authors and Affiliations

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

    Yuri 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. I

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

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-9185-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 1996

  • Hardcover ISBN: 978-3-7643-5344-5Published: 28 March 1996

  • Softcover ISBN: 978-3-0348-9939-0Published: 10 October 2011

  • eBook ISBN: 978-3-0348-9185-1Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XIX, 426

  • Topics: Functional Analysis, Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation