|
|||||
|
|
Relatively Weakly Open Sets in Closed Balls of C*-Algebras |
|
| Authors: | Guerrero, Julio Becerra Perez, Gines Lopez Rodriguez-Palacios, A. |
| Affiliation: | Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada 18071-Granada, Spain juliobg{at}ugr.es Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada 18071-Granada, Spain glopezp{at}ugr.es Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada 18071-Granada, Spain apalacio{at}ugr.es |
| Abstract: | Let A be an infinite-dimensional C*-algebra. It is proved thatevery nonempty relatively weakly open subset of the closed unitball BA of A has diameter equal to 2. This implies that BA isnot dentable, and that there is not any point of continuityfor the identity mapping (BA,weak) (BA,norm). |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ | |