info:eu-repo/semantics/article
Local Bishop–Phelps–Bollobás properties
Fecha
2018-08Registro en:
Dantas, Sheldon; Kim, Sun Kwang; Lee, Han Ju; Mazzitelli, Martin Diego; Local Bishop–Phelps–Bollobás properties; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 468; 8-2018; 304-323
0022-247X
CONICET Digital
CONICET
Autor
Dantas, Sheldon
Kim, Sun Kwang
Lee, Han Ju
Mazzitelli, Martin Diego
Resumen
In this paper we introduce some local versions of Bishop–Phelps–Bollobás type property for operators. That is, the function η which appears in their definitions depends not only on a given ε > 0, but also on either a fixed norm-one operator T or a fixed norm-one vector x. We investigate those properties and show differences between local and uniform versions.