Matrix regular operator spaces

DOI10.1006/jfan.1997.3160zbMath0898.46017OpenAlexW2076807832MaRDI QIDQ1379613

Walter J. Schreiner

Publication date: 2 November 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3160

zbMATH Keywords

Haagerup tensor productRiesz normmatricial structure of the operator spacematrix ordered complex operator spacesmatrix regularmultilinear decomposition theoremmultilinear representation theoremordered real Banach space

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Ordered normed spaces (46B40) Tensor products in functional analysis (46M05)

Related Items (19)

Tolerance relations and operator systems ⋮ Quantization in \(\ast\)-algebras and an algebraic analog of Arveson's extension theorem ⋮ Adjoining an order unit to a matrix ordered space ⋮ Characterizations of ordered operator spaces ⋮ Corrigendum to the paper ``Adjoining an order unit to a matrix ordered space. ⋮ Structure of quasi operator systems ⋮ Order units in a \(C^*\)-algebra ⋮ Absolute matrix order ideals in absolute matrix order unit spaces ⋮ The predual of the space of decomposable maps from a \(C^{\ast}\)-algebra into a von Neumann algebra ⋮ Complete order amenability of the Fourier algebra ⋮ Approximately unital operator systems ⋮ Ordered involutive operator spaces ⋮ Polynomials in operator space theory: matrix ordering and algebraic aspects ⋮ ORDER EMBEDDING OF A MATRIX ORDERED SPACE ⋮ Matrix regular operator space and operator system ⋮ Order structure of the Figà-Talamanca-Herz algebra ⋮ A \(p\)-theory of ordered normed spaces ⋮ Completely positive matrix numerical index on matrix regular operator spaces ⋮ Subspaces of \(L(H)\) that are *-invariant

Cites Work

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• Positive Functions on C ∗ -Algebras

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