pith. sign in

arxiv: 1001.3590 · v3 · pith:HK3A2XECnew · submitted 2010-01-20 · 🧮 math.OA · math.FA

Completely bounded kernels

Tirthankar Bhattacharyya , Michael A. Dritschel , Christopher S. Todd This is my paper
classification 🧮 math.OA math.FA
keywords completelykernelsboundedwhenalgebrasautomaticcontractivecountable
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.