Boundary Representations and Rectangular Hyperrigidity
Operator Algebras
2021-02-09 v2 Functional Analysis
Abstract
We explore connections between boundary representations of operator spaces and those of the associated Paulsen systems. Using the notions of finite representation and separating property which we introduced, boundary representations for operator spaces is characterised. We also introduce weak boundary for operator spaces. Rectangular hyperrigidity of operator spaces introduced here is used to establish an analogue of Saskin's theorem in the setting of operator spaces in finite dimensions.
Cite
@article{arxiv.2009.12221,
title = {Boundary Representations and Rectangular Hyperrigidity},
author = {Arunkumar C. S and Shankar P and A. K. Vijayarajan},
journal= {arXiv preprint arXiv:2009.12221},
year = {2021}
}
Comments
20 pages