
eBook 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 |

eBook 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 149; 2001; 114 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in functional analysis.
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Table of Contents
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Chapters
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1. Introduction
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2. Compressions and dilations
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3. Minimal dilation and induced semigroup
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4. Domination for $E_0$-semigroups
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5. Compression under domination
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6. Units
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7. Cocycle computation for CCR flows
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8. Factorization theorem
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9. Hudson-Parthasarathy cocycles
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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.
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