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Cocycles of CCR Flows
 
B. V. Rajarama Bhat Indian Statistical Institute, Bangalore, India
Front Cover for Cocycles of CCR Flows
Available Formats:
Electronic ISBN: 978-1-4704-0300-3
Product Code: MEMO/149/709.E
List Price: $56.00
MAA Member Price: $50.40
AMS Member Price: $33.60
Front Cover for Cocycles of CCR Flows
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  • Front Cover for Cocycles of CCR Flows
  • Back Cover for Cocycles of CCR Flows
Cocycles of CCR Flows
B. V. Rajarama Bhat Indian Statistical Institute, Bangalore, India
Available Formats:
Electronic ISBN:  978-1-4704-0300-3
Product Code:  MEMO/149/709.E
List Price: $56.00
MAA Member Price: $50.40
AMS Member Price: $33.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1492001; 114 pp
    MSC: Primary 46; 81;

    We study the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of all bounded operators on a Hilbert space. For semigroups of \(*\)-endomorphisms this set can be described through cocycles. This helps us to prove a factorization theorem for dilations and to show that minimal dilations of quantum dynamical semigroups with bounded generators can be got through Hudson-Parthasarathy cocycles.

    Readership

    Graduate students and research mathematicians interested in functional analysis.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Compressions and dilations
    • 3. Minimal dilation and induced semigroup
    • 4. Domination for $E_0$-semigroups
    • 5. Compression under domination
    • 6. Units
    • 7. Cocycle computation for CCR flows
    • 8. Factorization theorem
    • 9. Hudson-Parthasarathy cocycles
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Volume: 1492001; 114 pp
MSC: Primary 46; 81;

We study the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of all bounded operators on a Hilbert space. For semigroups of \(*\)-endomorphisms this set can be described through cocycles. This helps us to prove a factorization theorem for dilations and to show that minimal dilations of quantum dynamical semigroups with bounded generators can be got through Hudson-Parthasarathy cocycles.

Readership

Graduate students and research mathematicians interested in functional analysis.

  • Chapters
  • 1. Introduction
  • 2. Compressions and dilations
  • 3. Minimal dilation and induced semigroup
  • 4. Domination for $E_0$-semigroups
  • 5. Compression under domination
  • 6. Units
  • 7. Cocycle computation for CCR flows
  • 8. Factorization theorem
  • 9. Hudson-Parthasarathy cocycles
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