TENSOR EXTENSION PROPERTIES OF C(K)-REPRESENTATIONS AND APPLICATIONS TO UNCONDITIONALITY

DOI10.1017/S1446788709000433zbMath1198.47029arXiv0901.1025OpenAlexW2100002907MaRDI QIDQ3560281

Christian Le Merdy, Christoph Kriegler

Publication date: 19 May 2010

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

Full work available at URL: https://arxiv.org/abs/0901.1025

zbMATH Keywords

tensor products\(R\)-boundednessfunctional calculusunconditionality

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (6)

Spectral multiplier theorems and averaged \(R\)-boundedness ⋮ Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Functional calculus and dilation for \(C_{0}\)-groups of polynomial growth ⋮ The Kalton-Lancien theorem revisited: maximal regularity does not extrapolate ⋮ \(\gamma \)-bounded representations of amenable groups

Cites Work

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• WELL-BOUNDEDNESS OF SUMS AND PRODUCTS OF OPERATORS
• C (K) -representations and R -boundedness
• Representations of Strongly Amenable C ∗ -Algebras
• A strong similarity property of nuclear \(C^*\)-algebras
• The \(H^\infty\)-calculus and sums of closed operators

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