Tensor products of non-self-adjoint operator algebras

DOI10.1216/RMJM/1181073110zbMath0716.46053OpenAlexW1976335105MaRDI QIDQ753098

Vern I. Paulsen, Stephen C. Power

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073110

zbMATH Keywords

operator algebraoperator normAndo's dilation theorem for commuting contractionscommutant lifting theorem of Sz.-Nagy and Foiaşcomplete operator cross- normminimal and maximal normsspatial norm

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Tensor products in functional analysis (46M05)

Related Items (9)

The “maximal” tensor product of operator spaces ⋮ Factorizations in universal operator spaces and algebras ⋮ Modules over operator algebras, and the maximal \(C^*\)-dilation ⋮ Tensor products of operator spaces ⋮ Explicit Construction of Universal Operator Algebras and Applications to Polynomial Factorization ⋮ Quasitriangular operator algebras ⋮ Matrix-valued interpolation and hyperconvex sets ⋮ Finite rank approximation and semidiscreteness for linear operators ⋮ Joint similarity problems and the generation of operator algebras with bounded length

Cites Work

• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Multilinear maps and tensor norms on operator systems
• Subspaces of \(C^ *\)-algebras
• Semi-discreteness and dilation theory for nest algebras
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Subalgebras of \(C^ *\)-algebras
• Unitary dilations for commuting contractions
• Von Neumann's Inequality for Hilbert Space Operators
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