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Abstract: We introduce completely bounded kernels taking values in LA,B where A and Bare C*-algebras. We show that if B is injective such kernels have a Kolmogorovdecomposition precisely when they can be scaled to be completely contractive,and that this is automatic when the index set is countable.



Author: Tirthankar Bhattacharyya, Michael A. Dritschel, Christopher S. Todd

Source: https://arxiv.org/







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