Abstract
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.
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Mathematics Subject Classification (2010). 46L07, 47L25
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© 2015 Springer International Publishing Switzerland
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Kumar, P.V., Balasubramani, M.S. (2015). A Note on Submaximal Operator Space Structures. In: Bhattacharyya, T., Dritschel, M. (eds) Operator Algebras and Mathematical Physics. Operator Theory: Advances and Applications, vol 247. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18182-0_11
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DOI: https://doi.org/10.1007/978-3-319-18182-0_11
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18181-3
Online ISBN: 978-3-319-18182-0
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