Operator System Structures and Extensions of Schur Multipliers

DOI10.1093/imrn/rnz364OpenAlexW3016092776WikidataQ126569009 ScholiaQ126569009MaRDI QIDQ5066808

Ying-Fen Lin, Ivan G. Todorov

Publication date: 30 March 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06483

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07)

Related Items (1)

On coproducts of operator ᵉc-systems

Cites Work

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• Closable multipliers
• Positive definite completions of partial Hermitian matrices
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Schur products and matrix completions
• Extensions of band matrices with band inverses
• Completely bounded module maps and the Haagerup tensor product
• Operator algebras and invariant subspaces
• Rank one subspaces of bimodules over maximal abelian selfadjoint algebras
• Norming \(C^*\)-algebras by \(C^*\)-subalgebras
• Herz-Schur multipliers of dynamical systems
• Theory of operator algebras. II
• Ideals of \(A(G)\) and bimodules over maximal abelian selfadjoint algebras
• Operator system structures on ordered spaces
• Dual operator systems
• Cones arising from C*-subalgebras and complete positivity
• Positive extensions of Schur multipliers
• Vector spaces with an order unit

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