Operators on Hilbert Space

✍ Scribed by V. S. Sunder

• Publisher: Springer
• Year: 2016
• Tongue: English
• Leaves: 113
• Series: Texts and Readings in Mathematics
• Edition: 1st ed. 2016
• Category: Library

✦ Synopsis

Serves as a primer on the theory of bounded linear operators on separable Hilbert space
Presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus
Discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras
Introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators
Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Science and Technology

The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.

Topics
Operator Theory
Functional Analysis

✦ Table of Contents

Front Matter....Pages i-xi
Hilbert space....Pages 1-29
The Spectral Theorem....Pages 31-54
Beyond normal operators....Pages 55-90
Back Matter....Pages 91-100

✦ Subjects

Operator Theory;Functional Analysis