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Local Bishop-Phelps-Bollobas properties
- Issue Date
- 1-Dec-2018
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Banach space; Norm attaining operators; Bishop-Phelps-Bollobas property
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.468, no.1, pp 304 - 323
- Pages
- 20
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 468
- Number
- 1
- Start Page
- 304
- End Page
- 323
- ISSN
- 0022-247X
1096-0813
- Abstract
- 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.
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Related Researcher
- Lee, Han Ju
- College of Education (Department of Mathematics Education)