A Survey of Completely Bounded Operators

DOI10.1112/blms/21.5.417zbMath0698.46044OpenAlexW2025731139MaRDI QIDQ3475857

Allan M. Sinclair, Erik Christensen

Publication date: 1989

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/21.5.417

zbMATH Keywords

completely bounded operatorsalgebraic structure and metric geometry are closely related

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (23)

The “maximal” tensor product of operator spaces ⋮ Injective matricial Hilbert spaces ⋮ Analytic factorizations and completely bounded maps ⋮ Factorizations in universal operator spaces and algebras ⋮ A completely bounded characterization of operator algebras ⋮ On the central Haagerup tensor product ⋮ Norms and CB norms of Jordan elementary operators. ⋮ Spectral flow and the unbounded Kasparov product ⋮ On relative boundedness in operator spaces ⋮ Similarity degrees for the crossed product of von Neumann algebras ⋮ Completely bounded module maps and the Haagerup tensor product ⋮ The Effros-Ruan conjecture for bilinear forms on \(C^{*}\)-algebras ⋮ Explicit Construction of Universal Operator Algebras and Applications to Polynomial Factorization ⋮ Completely rank-nonincreasing multilinear maps ⋮ Equivalence of norms on operator space tensor products of $C^\ast $-algebras ⋮ Radial multipliers on amalgamated free products of II₁-factors ⋮ Representation of a Completely Bounded Bimodule Map ⋮ Elementary operators and invariant subalgebras ⋮ Radial multipliers on reduced free products of operator algebras ⋮ Joint similarity problems and the generation of operator algebras with bounded length ⋮ Factorization of completely bounded bilinear operators and injectivity ⋮ Completely rank-nonincreasing linear maps on spaces of operators ⋮ Operator-space Grothendieck inequalities for noncommutative \(L_p\)-spaces

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