Operator algebras with contractive approximate identities

DOI10.1016/j.jfa.2011.02.019zbMath1235.47087OpenAlexW4251260404MaRDI QIDQ537717

David P. Blecher, Charles John Read

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.02.019

zbMATH Keywords

operator algebrascompletely positive maphereditary subalgebraapproximate identityone-sided idealpeak setpseudo-invertible element

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Spaces of operators; tensor products; approximation properties (46B28)

Related Items

Roots in operator and Banach algebras ⋮ Characterizations of ordered operator spaces ⋮ Ueda’s peak set theorem for general von Neumann algebras ⋮ The geometry of projective, injective, and flat Banach modules ⋮ Operator algebras with contractive approximate identities: weak compactness and the spectrum ⋮ Non-commutative measure theory: Henkin and analytic functionals on \(\mathrm{C}^*\)-algebras ⋮ Minimal boundaries for operator algebras ⋮ On positivity and roots in operator algebras ⋮ Contractive projections and real positive maps\cr on operator algebras ⋮ Real operator algebras and real positive maps ⋮ Real Positive Maps and Conditional Expectations on Operator Algebras ⋮ On the quest for positivity in operator algebras ⋮ Operator algebras with contractive approximate identities: A large operator algebra in $c_0$ ⋮ Metric characterizations. II ⋮ Involutive operator algebras ⋮ \(L^p\)-operator algebras with approximate identities. I ⋮ Residually finite-dimensional operator algebras ⋮ On the structure of ideals and multipliers: A unified approach

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