Introduction to Hilbert Space and the Theory of Spectral Multiplicity
Paul R. Halmos
ISBN 10: 0486817334 ISBN 13: 9780486817330
Published by Dover Publications Inc., US, 2018
New
Paperback
From
Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
AbeBooks Seller since June 11, 2025
This specific item is no longer available.
About this Item
Description:
This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. "An exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely." Bulletin of the American Mathematical Society. Seller Inventory # LU-9780486817330
Synopsis:
This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. Author Paul R. Halmos notes in the Preface that his motivation in writing this text was to make available to a wider audience the results of the third chapter, the so-called multiplicity theory. The theory as he presents it deals with arbitrary spectral measures, including the multiplicity theory of normal operators on a not necessarily separable Hilbert space. His explication covers, as another useful special case, the multiplicity theory of unitary representations of locally compact abelian groups.
Suitable for advanced undergraduates and graduate students in mathematics, this volume's sole prerequisite is a background in measure theory. The distinguished mathematician E. R. Lorch praised the book in the Bulletin of the American Mathematical Society as "an exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely."
About the Author: Hungarian-born Paul R. Halmos (1916–2006) is widely regarded as a top-notch expositor of mathematics. He taught at the University of Chicago and the University of Michigan as well as other universities and made significant contributions to several areas of mathematics, including mathematical logic, probability theory, ergodic theory, and functional analysis.
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: Introduction to Hilbert Space and the Theory...
Publisher: Dover Publications Inc., US
Publication Date: 2018
Binding: Paperback
Condition: New
Edition: 2nd Edition