Operators on Hilbert space

✍ Scribed by Sunder, V. S

• Publisher: Springer
• Year: 2016
• Tongue: English
• Leaves: 113
• Series: Texts and readings in mathematics 71
• Category: Library

✦ Synopsis

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. . Read more...

Abstract: 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

✦ 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;Hilbert space