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Operators on Hilbert spaces/ V S Sunder

By: Material type: TextTextSeries: Texts and Readings in Mathematics ; 71Publication details: New Delhi: HBA, 2015ISBN:
  • 9789380250748
Subject(s): DDC classification:
  • 515.723 Su957
Contents:
Hilbert Space -- The Spectral Theorem -- Beyond normal operators
Summary: This book was born out of a desire to have a brief introduction to operator theory - the spectral theorem (arguably the most important theorem in Hilbert space theory), polar decomposition, compact operators, trace-class operators, etc., which would involve a minimum of initial spadework (avoiding such digressions as, for example, the Gelfand theory of commutative Banach algebras), and which only needed simple facts from a first semester graduate course on Functional Analysis.
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Includes bibliography and index

Hilbert Space -- The Spectral Theorem -- Beyond normal operators

This book was born out of a desire to have a brief introduction to operator theory - the spectral theorem (arguably the most important theorem in Hilbert space theory), polar decomposition, compact operators, trace-class operators, etc., which would involve a minimum of initial spadework (avoiding such digressions as, for example, the Gelfand theory of commutative Banach algebras), and which only needed simple facts from a first semester
graduate course on Functional Analysis.

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