The unit ball of an injective operator space has an extreme point

DOI10.1016/j.jmaa.2018.03.028zbMath1406.46037arXiv1704.04665OpenAlexW2963615170WikidataQ122941514 ScholiaQ122941514MaRDI QIDQ1746765

Masayoshi Kaneda

Publication date: 25 April 2018

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

Full work available at URL: https://arxiv.org/abs/1704.04665

zbMATH Keywords

extreme pointquasi-identityideal decompositionternary ring of operators (TRO)\(AW^*\)-algebrainjective operator space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ideal decompositions of a ternary ring of operators with predual
• Quasi-multipliers of operator spaces
• Diagonalizing matrices over \(AW^\ast\)-algebras
• Quasi-multipliers and algebrizations of an operator space
• Projections in Banach algebras
• Isometries of operator algebras
• Quasi-multipliers of an operator space. II. Extreme points and quasi-identities
• Monotone Complete C*-algebras and Generic Dynamics
• Injectivity of Operator Spaces
• Injective matricial Hilbert spaces
• The ideal envelope of an operator algebra