A functional calculus for Banach PI-algebras

DOI10.2140/PJM.1986.125.127zbMath0577.46050OpenAlexW1989317117MaRDI QIDQ1066059

Denis Luminet

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.125.127

zbMATH Keywords

unital Banach algebrafunctional calculuspolynomial identityPI-algebrasdomains of holomorphyalgebras of matrix-valued functionsBanach Azumaya algebraentire matrix-valued functionsShilov-Wealbroeck-Arens-Calderon theorem

Mathematics Subject Classification ID

Domains of holomorphy (32D05) Functional calculus in topological algebras (46H30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Rings with polynomial identity (16Rxx)

Related Items (4)

Function theory from tensor algebras ⋮ Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back ⋮ Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball

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