Boundary Representations and Rectangular Hyperrigidity

2020/09/24 by Arunkumar C.S, S, Arunkumar C., PN Shankar +3
Mathematics · #46L52 #47A20 #47L25 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Primary 46L07

paper · pdf · doi:10.48550/arxiv.2009.12221

openalex publication_date 2020/09/24 · openalex created_date 2020/10/01 · openalex updated_date 2026/07/28

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.

Citations

• Subalgebras of C*-algebras

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