On the complete boundedness of the Schur block product

DOI10.1090/proc/14202zbMath1442.15041arXiv1712.05285OpenAlexW2963857516WikidataQ129186903 ScholiaQ129186903MaRDI QIDQ4644438

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Publication date: 7 January 2019

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

Full work available at URL: https://arxiv.org/abs/1712.05285

zbMATH Keywords

completely boundedHadamard productoperator spacematrixSchur productquantum channel

Mathematics Subject Classification ID

Quantum computation (81P68) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Applications of functional analysis in quantum physics (46N50) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

On a Schur-type product for matrices with operator entries ⋮ The block Schur product is a Hadamard product ⋮ Matrix multipliers for a block Schur product

Cites Work

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• Representations of completely bounded multilinear operators
• Completely bounded module maps and the Haagerup tensor product
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• Schur multipliers
• An Analog of the Cauchy–Schwarz Inequality for Hadamard Products and Unitarily Invariant Norms
• Inequalities for unitarily invariant norms and bilinear matrix products
• Block-matrix generalizations of infinite-dimensional schur products and schur multipliers
• Alice and Bob Meet Banach
• Positive Functions on C ∗ -Algebras
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.

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