| Description |
1 online resource (87 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; Volume 124, Number 593 |
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Memoirs of the American Mathematical Society ; Volume 124, no. 593.
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| 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"" |
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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 |
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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 |
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""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"" |
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""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"" |
| Notes |
"November 1996, volume 124, number 593 (fourth of 5 numbers)." |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Hypergroups.
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Representations of groups.
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Measure algebras.
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Hypergroups
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Measure algebras
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Representations of groups
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| Form |
Electronic book
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| ISBN |
9781470401788 |
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1470401789 |
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