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Completely positive hypergroup...
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Completely positive hypergroup actions / Ajit Iqbal Singh.
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Bibliographic Details
Main Author:
Singh, Ajit Iqbal, 1944-
(Author)
Format:
eBook
Language:
English
Published:
Providence, Rhode Island :
American Mathematical Society,
1996.
Series:
Memoirs of the American Mathematical Society ;
Volume 124, no. 593.
Subjects:
Hypergroups.
Representations of groups.
Measure algebras.
Hypergroups
Measure algebras
Representations of groups
Online Access:
Click for online access
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Description
Table of Contents
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Table of Contents:
""Contents""; ""Introduction""; ""Chapter 1. Presentations""; ""1.1. Admissible pairs of normed linear spaces and compatible pairs of Banach spaces""; ""1.2. Admissible pairs of spaces of operators""; ""1.3. A compatible pair of spaces of functions and measures""; ""1.4. Presentations and opresentations""; ""1.5. Actions and opactions""; ""Chapter 2. Complete Positivity and Other Properties for Presentations and Opresentations""; ""2.1. The C*�algebra M[sub(n)](A) and completely positive maps""; ""2.2. Matrix ordered and matricially normed spaces""
2.3. Matrix ordered and matricially normed spaces of linear maps2.4. Interconnections amongst different notions of positivity and complete positivity
2.5. Matricially order or norm admissible and compatible pairs
2.6. Examples of matricially norm admissible and compatible pairs
2.7. Matricially order or norm admissible and compatible pairs of spaces of linear maps
2.8. Completely positive and completely bounded presentations and opresentations
2.9. Topological structures on spaces of presentations
2.10. Properties of the dual presentation and opresentation2.11. Completely positive and completely bounded actions and opactions
2.12. Examples and remarks
Chapter 3. Presentations of Hypergroups and Associated Actions
3.1. (M(K), C[sub(b)]K)) as a natural matricially order compatible pair
3.2. Matricially order compatible structures on (M(K), C[sub(b)]K)) through representations
3.3. Special matrix orders on M(K) for commutative K
3.4. Role of conjugate representations in Fourier transform
""3.5. Positive definite presentations and completely positive opresentations of hypergroups""""3.6. The spectral subspaces of a presentation of a hypergroup""; ""3.7. Quantized positive�definite presentations and opresentations of hypergroups""; ""3.8. Completely positive instruments with values in K and their characteristic functions""; ""3.9. Completely positive hypergroup actions and opactions""; ""Chapter 4. Some Concrete Presentations and Actions of Hypergroups""; ""4.1. Presentations and opresentations arising from the left regular representation""
""4.2. The situation in 2â€?fold absolutely continuous hypergroups""""4.3. Amenability for hypergroups""; ""4.4. Folner hypergroups""; ""4.5. Isometry condition on Î?(Î?)""; ""4.6. Actions and opactions arising from the left regular representation""; ""4.7. The special case X = L[sup(2)](K) = X[sub(*)]""; ""References""
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