Boundary representations and rectangular hyperrigidity
Banach Journal of Mathematical Analysis
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 introduce for operator spaces, the boundary representations for operator spaces are characterized. We also introduce weak boundary for operator spaces. Rectangular hyperrigidity for operator spaces introduced here is used to establish an analogue of Saskin’s theorem in the setting of operator spaces in finite dimensions.
Arunkumar, C. S.; Shankar, P.; and Vijayarajan, A. K., "Boundary representations and rectangular hyperrigidity" (2021). Journal Articles. 2011.
Open Access, Green