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arXiv · 1001.3590

Completely bounded kernels

Tirthankar Bhattacharyya·Michael A. Dritschel·Christopher S. Todd
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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.

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BibTeXRIS

Tirthankar Bhattacharyya, Michael A. Dritschel, Christopher S. Todd. 2010-01-20. Completely bounded kernels. https://arxiv.org/abs/1001.3590

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