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Decompositions of Operator Algebras, I and II
 
I. E. Segal
Decompositions of Operator Algebras, I and II
eBook ISBN:  978-1-4704-0039-2
Product Code:  MEMO/1/9.E
List Price: $20.00
MAA Member Price: $18.00
AMS Member Price: $12.00
Add to cart
Decompositions of Operator Algebras, I and II
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Decompositions of Operator Algebras, I and II
I. E. Segal
eBook ISBN:  978-1-4704-0039-2
Product Code:  MEMO/1/9.E
List Price: $20.00
MAA Member Price: $18.00
AMS Member Price: $12.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1; 1951; 133 pp
    MSC: Primary 16
  • Table of Contents
     
     
    • Chapters
    • Volume I
    • 1. Introduction
    • 2. Definitions and notations
    • 3. Decomposition of a state relative to a commutative algebra
    • 4. Direct integrals of Hilbert spaces
    • 5. Maximal decompositions
    • Part I. Applications
    • 6. Decomposition of a $W^*$-algebra into factors
    • 7. Decomposition of a group representation into irreducible representations
    • 8. Decomposition of an invariant measure into ergodic parts
    • 9. The Fourier transform for separable unimodular groups
    • 10. Deflation of decompositions
    • Volume II. Multiplicity theory
    • 1. Introduction
    • Part I. Commutative algebras
    • 2. Definitions and technical preliminaries
    • 3. Structure of maximal abelian $W^*$-algebras
    • 4. Structure of commutative $W^*$-algebras
    • 5. Unitary invariants of commutative $W^*$-algebras and of $SA$ operators
    • 6. Applications
    • Part II. Non-commutative algebras
    • 7. Decomposition theory
    • 8. Algebras of uniform multiplicity
    • 9. Algebras of type I
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 1; 1951; 133 pp
MSC: Primary 16
  • Chapters
  • Volume I
  • 1. Introduction
  • 2. Definitions and notations
  • 3. Decomposition of a state relative to a commutative algebra
  • 4. Direct integrals of Hilbert spaces
  • 5. Maximal decompositions
  • Part I. Applications
  • 6. Decomposition of a $W^*$-algebra into factors
  • 7. Decomposition of a group representation into irreducible representations
  • 8. Decomposition of an invariant measure into ergodic parts
  • 9. The Fourier transform for separable unimodular groups
  • 10. Deflation of decompositions
  • Volume II. Multiplicity theory
  • 1. Introduction
  • Part I. Commutative algebras
  • 2. Definitions and technical preliminaries
  • 3. Structure of maximal abelian $W^*$-algebras
  • 4. Structure of commutative $W^*$-algebras
  • 5. Unitary invariants of commutative $W^*$-algebras and of $SA$ operators
  • 6. Applications
  • Part II. Non-commutative algebras
  • 7. Decomposition theory
  • 8. Algebras of uniform multiplicity
  • 9. Algebras of type I
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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