info:eu-repo/semantics/article
On dual valued operators on Banach álgebras
Fecha
2012-03Registro en:
Aleandro, María José; Peña, Carlos César; On dual valued operators on Banach álgebras; State University of New York at Albany; New York Journal of Mathematics; 18; 3-2012; 657-665
1076-9803
CONICET Digital
CONICET
Autor
Aleandro, María José
Peña, Carlos César
Resumen
Let U be a regular Banach algebra and let D:U→U∗ be a bounded linear operator, where U∗ is the topological dual space of U. We seek conditions under which the transpose of D becomes a bounded derivation on U∗∗. We focus our attention on the class D(U) of bounded derivations D:U→U∗ so that <a,D(a)>=0 for all a∈U. We consider this matter in the setting of Beurling algebras on the additive group of integers. We show that U is a weakly amenable Banach algebra if and only if D(U)≠{0}.