Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 304-323 |
Number of pages | 20 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 468 |
Issue number | 1 |
DOIs | |
State | Published - 1 Dec 2018 |
Keywords
- Banach space
- Bishop–Phelps–Bollobás property
- Norm attaining operators