On function and operator modules

DOI10.1090/S0002-9939-00-05866-4zbMath0964.47040arXivmath/9906099OpenAlexW1535489626MaRDI QIDQ4523208

David P. Blecher, Christian Le Merdy

Publication date: 8 January 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9906099

zbMATH Keywords

Banach modulesBanach algebrasoperator spacesleft multiplicationoperator bimodulescompletely isometric embeddings

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Subalgebras of commutative topological algebras (46J30)

Related Items (3)

Isomorphisms of function modules, and generalized approximation in modulus ⋮ The Shilov boundary of an operator space and the characterization theorems ⋮ Multipliers and dual operator algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of operator algebras
• The standard dual of an operator space
• Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators
• Representations of completely bounded multilinear operators
• Multilinear maps and tensor norms on operator systems
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• M-structure and the Banach-Stone theorem
• Tensor products of operator spaces
• Finite rank approximation and semidiscreteness for linear operators
• A generalization of Hilbert modules
• Structure in real Banach spaces. I and II
• Commutativity in Operator Algebras
• Multipliers in complex Banach spaces and structure of the unit balls
• A New Approach to Operator Spaces
• Tensor Products of Operator Spaces II
• Banach algebras and absolutely summing operators
• An Operator Space Characterization of Dual Operator Algebras
• Le degré de similarité d'une algèbre d'opérateurs
• Multiplier representations and an application to the problem whether $A\otimes_\varepsilon X$ determines $A$ and/or $X$.

This page was built for publication: On function and operator modules