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\(C^\ast\)-convexity of norm unit balls

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Publication:313530
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DOI10.1016/j.jmaa.2016.04.022zbMath1357.46046arXiv1604.02812OpenAlexW2964044191MaRDI QIDQ313530

Mohsen Kian

Publication date: 12 September 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02812


zbMATH Keywords

unit ball\(C^\ast\)-convex setdual norm


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of (C^*)-algebras (46L05) Isometric theory of Banach spaces (46B04)


Related Items

Matricial Radius: A Relation of Numerical radius with Matricial Range ⋮ Noncommutative convexity in matricial *-rings



Cites Work

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  • Non-commutative perspectives
  • Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
  • Some remarks on C*-convexity
  • C ∗ -Extreme Points
  • C ∗ -Extreme Points of some Compact C ∗ -Convex Sets
  • The Krein-Milman theorem in operator convexity
  • The Structure of C*-Convex Sets
  • 𝐶*-extreme points in the generalised state spaces of a 𝐶*-algebra
  • JENSEN'S OPERATOR INEQUALITY
  • C*-Convexity and the Numerical Range
  • C*-convex sets and completely bounded bimodule homomorphisms
  • Epigraph of operator functions
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