Quasimultipliers of Operator Spaces

2003/12/30 by Masayoshi Kaneda, Vern I. Paulsen, Kaneda, Masayoshi +1 · 1 citation
Mathematics · #46H25 #46L05 (Primary) 46A22 #46M10 #47A20 (Secondary) #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46A22 #msc:46H25 #msc:46L05 #msc:46M10 #msc:47A20

paper · pdf · doi:10.48550/arxiv.math/0312501

arxiv created 2003/12/30 · openalex publication_date 2003/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the injective envelope to study quasimultipliers of operator spaces. We prove that all representable operator algebra products that an operator space can be endowed with are induced by quasimultipliers. We obtain generalizations of the Banach-Stone theorem.

Cited by

• Duality and operator algebras

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