|
|||||
|
|
Semisimple Banach algebras generated by compact groups of operators on a Banach space |
|
| Authors: | José E Galé Armando R Villena |
| Institution: | a Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain b Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain |
| Abstract: | We prove that if τ is a strongly continuous representation of a compact group G on a Banach space X, then the weakly closed Banach algebra generated by the Fourier transforms  with μ∈M(G) is a semisimple Banach algebra. |
| Keywords: | Compact groups Representations of groups Unitary representations of groups Semisimple Banach algebras |
| 本文献已被 ScienceDirect 等数据库收录！ | |