menu

Introduction to Hilbert Space and the Theory of Spectral Multiplicity : Second Edition
by Paul R. Halmos




Overview -
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."

  Read Full Product Description
 
local_shippingFor Delivery
In Stock.
FREE Shipping for Club Members help
 
storeBuy Online Pickup At Store
search store by zipcode

 
 
New & Used Marketplace 25 copies from $9.53
 
 
 
 

More About Introduction to Hilbert Space and the Theory of Spectral Multiplicity by Paul R. Halmos

 
 
 

Overview

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."

 

Details

  • ISBN-13: 9780486817330
  • ISBN-10: 0486817334
  • Publisher: Dover Publications
  • Publish Date: December 2017
  • Page Count: 128
  • Dimensions: 8.8 x 5.9 x 0.3 inches
  • Shipping Weight: 0.39 pounds

Series: Dover Books on Mathematics

Related Categories

 

BAM Customer Reviews