2012/12/11 by Vinod Kumar P., P., Vinod Kumar, M. S. Balasubramani +1
Mathematics · #46L07 #47L25 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L07 #msc:47L25
paper · pdf · doi:10.48550/arxiv.1212.2315
Pages: 12, Communicated
arxiv created 2012/12/11 · arxiv updated 2012/12/12
In this note, we consider the smallest submaximal space structure μ(X) on a Banach space X. We derive a characterization of μ(X) up to complete isometric isomorphism in terms of a universal property. Also, we show that an injective Banach space has a unique submaximal space structure and we explore some duality relations of μ-spaces. Key Words: operator spaces, maximal operator spaces, submaximal spaces, μ- spaces.