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Spectral Theory of Bounded Linear Operators

Authors: Kubrusly, Carlos S.

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  • Investigates both Hilbert and Banach-space settings in one self-contained volume
  • Includes detailed proofs of the spectral theorem for both compact and general cases
  • Motivates a deeper understanding of spectral theory through supplementary propositions for further study
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eBook 49,99 €
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  • ISBN 978-3-030-33149-8
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Hardcover 62,39 €
price for Spain (gross)
  • Due: January 31, 2020
  • ISBN 978-3-030-33148-1
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  • Immediate ebook access, if available*, with your print order
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts.

Covering both basic and more advanced material, the five chapters and two appendices of this volume provide a modern treatment on spectral theory. Topics range from spectral results on the Banach algebra of bounded linear operators acting on Banach spaces to functional calculus for Hilbert and Banach-space operators, including Fredholm and multiplicity theories. Supplementary propositions and further notes are included as well, ensuring a wide range of topics in spectral theory are covered.

Spectral Theory of Bounded Linear Operators is ideal for graduate students in mathematics, and will also appeal to a wider audience of statisticians, engineers, and physicists. Though it is mostly self-contained, a familiarity with functional analysis, especially operator theory, will be helpful.

About the authors

Carlos Kubrusly is Emeritus Professor at Catholic University of Rio de Janeiro. His research focuses on operator theory, particularly on weak and strong dynamics of Hilbert-space operators and their connection with the Invariant Subspace Problem. He has published over 100 scientific articles in international journals, five books, and served as the editor-in-chief of the journal Computational and Applied Mathematics.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 49,99 €
price for Spain (gross)
  • ISBN 978-3-030-33149-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,39 €
price for Spain (gross)
  • Due: January 31, 2020
  • ISBN 978-3-030-33148-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Spectral Theory of Bounded Linear Operators
Authors
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-33149-8
DOI
10.1007/978-3-030-33149-8
Hardcover ISBN
978-3-030-33148-1
Edition Number
1
Number of Pages
XII, 249
Number of Illustrations
2 b/w illustrations
Topics

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