C⁎-convexity of norm unit balls

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2016 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 445, pages 1,417-1,427 (issn: 0022-247X,

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Authors: Mohsen Kian;

doi: 10.1016/j.jmaa.2016.04.022 , 10.48550/arxiv.1604.02812

arXiv: 1604.02812

C⁎-convexity of norm unit balls

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Abstract

We determine those norms on B(H) whose unit ball is C*-convex. We call them M-norms and show that the class of M-norms less than a given norm enjoys a maximum element. These minimum and maximum elements will be determined in some cases. Finally, we give a constructive result to obtain M-norms on B(H).

to appear in Journal of Mathematical Analysis and Applications

Related Organizations

University of Bojnord
Iran (Islamic Republic of)
Institute for Research in Fundamental Sciences
Iran (Islamic Republic of)

Keywords

Mathematics - Functional Analysis, Mathematics - Operator Algebras, FOS: Mathematics, Operator Algebras (math.OA), 47A30, 15A60, 47A05, Functional Analysis (math.FA)

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