Derivations on Banach pairs
type: Item
instance of: scholarly article
title: Derivations on Banach pairs
zbMATH Open document ID: 0930.46048
published in: Rocky Mountain Journal of Mathematics
publication date: 1999-06-28T00:00:00Z
full work available at URL: cont28-3.html
review text: The Johnson-Sinclair theorem on automatic continuity of derivations on semisimple Banach algebras is extended to the Banach pair framework. The essential step consists again in showing the invariance of ``almost all'' primitive ideals under derivations. Moreover, the authors obtain a Kleinecke-type theorem for continuous derivations on Banach pairs.
Mathematics Subject Classification ID: 46H40
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 1309872
zbMATH Keywords: Johnson-Sinclair theorem
zbMATH Keywords: automatic continuity
zbMATH Keywords: derivations
zbMATH Keywords: semisimple Banach algebras
zbMATH Keywords: Banach pair
zbMATH Keywords: primitive ideals
zbMATH Keywords: Kleinecke-type theorem
author: M. V. Velasco
author: Armando R. Villena
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
OpenAlex ID: W1988957039
cites work: BOUNDED DERIVATIONS OF JB* - TRIPLES
cites work: Representations, automorphisms, and derivations of some operator algebras
cites work: Jacobson density for associative pairs and its applications
cites work: Solving Linear Operator Equations
cites work: A note on norm ideals and the operator \(X\to AX-XB\)
cites work: A note on the range of the operator \(X\to AX-XB\)
cites work: Continuity of Derivations and a Problem of Kaplansky
cites work: Modules Over Operator Algebras
cites work: On Operator Commutators
cites work: Invertible Solutions to the Operator Equation TA - BT = C
cites work: On the operator equation \(BX - XA = Q\)
cites work: Continuous Derivations on Banach Algebras
cites work: Q4072388
cites work: The norm of a derivation
cites work: Primitive ideals and derivations on non-commutative Banach algebras
cites work: Continuity of Random Derivations
cites work: Q4876142
cites work: Continuity of Derivations on H ∗ -Algebras
cites work: Derivations on Jordan-Banach algebras
cites work: Q4873140
cites work: Hermitian Operators on Banach Jordan Algebras
cites work: Q5287895
DOI: 10.1216/RMJM/1181071761
description: scientific article; zbMATH DE number 1309872