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Local Bishop-Phelps-Bollobas properties
- Dantas, Sheldon;
- Kim, Sun Kwang;
- Lee, Han Ju;
- Mazzitelli, Martin
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14초록
In this paper we introduce some local versions of Bishop-Phelps-Bollobas type property for operators. That is, the function eta which appears in their definitions depends not only on a given epsilon > 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. (C) 2018 Elsevier Inc. All rights reserved.
키워드
Banach space; Norm attaining operators; Bishop-Phelps-Bollobas property; BANACH-SPACE; OPERATORS; NORM
- 제목
- Local Bishop-Phelps-Bollobas properties
- 저자
- Dantas, Sheldon; Kim, Sun Kwang; Lee, Han Ju; Mazzitelli, Martin
- 발행일
- 2018-12-01
- 유형
- Article
- 권
- 468
- 호
- 1
- 페이지
- 304 ~ 323