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Spectral Theory of Bounded Linear Operators
ISBN-13:
9783030331498
Veröffentl:
2020
Seiten:
249
Autor:
Carlos S. Kubrusly
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
Preface.- Introductory Results.- Spectrum of an Operator.- The Spectral Theorem.- Functional Calculi.- Fredholm Theory in Hilbert Space.- Aspects of Fredholm Theory in Banach Space.- A Glimpse at Multiplicity Theory.
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