Bhattacharyya, Tirthankar ; Dritschel, Michael A. ; Todd, Christopher S. (2013) Completely bounded kernels Acta Scientiarum Mathematicarum (Szeged), 79 (1-2). pp. 191-217. ISSN 0001-6969
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Abstract
We introduce completely bounded kernels taking values in L(A,B) where A and B are C*-algebras. We show that if B is injective such kernels have a Kolmogorov decomposition precisely when they can be scaled to be completely contractive, and that this is automatic when the index set is countable.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to University of Szeged, Hungary. |
| Keywords: | Completely Bounded Kernels; Hermitian Kernels; Kolmogorov De- composition |
| ID Code: | 99733 |
| Deposited On: | 27 Nov 2016 12:52 |
| Last Modified: | 27 Nov 2016 12:52 |
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