Korovkin-type theorems for Schwarz maps and operator monotone functions in \(C^*\)-algebras

DOI10.1007/PL00004717zbMath0931.47015OpenAlexW2086705791MaRDI QIDQ1297988

Mitsuru Uchiyama

Publication date: 23 February 2000

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004717

zbMATH Keywords

bounded linear operatorsoperator monotone functionscompact Hausdorff spaceKorovkin-type theorems\(C^*\)-algebra with unitKorovkin closureRobertson's theorem on \(C^*\)-subalgebras generated by a sequence of Schwarz maps

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operator approximation theory (47A58) Approximation by positive operators (41A36)

Related Items (4)

A Korovkin-type theory for non-self-adjoint Toeplitz operators ⋮ Banach Spaces of GLT Sequences and Function Spaces ⋮ A short survey on preconditioners and Korovkin-type theorems ⋮ Korovkin-type theorems on \(B(\mathcal{H})\) and their applications to function spaces

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