The Shilov boundary of an operator space and the characterization theorems

DOI10.1006/jfan.2000.3734zbMath1064.46042arXivmath/9906083OpenAlexW2088486432MaRDI QIDQ5939929

David P. Blecher

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/math/9906083

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25)

Related Items

Logmodularity and isometries of operator algebras ⋮ A Morita characterisation for algebras and spaces of operators on Hilbert spaces ⋮ Uniqueness, universality, and homogeneity of the noncommutative Gurarij space ⋮ Isomorphisms of function modules, and generalized approximation in modulus ⋮ Strong Morita equivalence of operator spaces ⋮ One-sided ideals and approximate identities in operator algebras ⋮ Alternating-projection algorithms for operator-theoretic calculations ⋮ Quantum hypergraph homomorphisms and non-local games ⋮ The Šilov boundary for operator spaces ⋮ Multipliers on matrix ordered operator spaces and some K-groups. ⋮ Ordered involutive operator spaces ⋮ Quasi-multipliers and algebrizations of an operator space ⋮ On Šilov boundary for function spaces ⋮ Unbounded multipliers on operator spaces ⋮ Arveson's criterion for unitary similarity ⋮ Duality and normal parts of operator modules ⋮ Quasi-multipliers of operator spaces ⋮ Multipliers and dual operator algebras ⋮ Classification of contractively complemented Hilbertian operator spaces ⋮ The noncommutative Choquet boundary ⋮ Unperforated pairs of operator spaces and hyperrigidity of operator systems ⋮ Metric characterizations. II ⋮ Multiplier operator algebras and applications ⋮ On injectivity and nuclearity for operator spaces

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