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The Birkhoff-James orthogonality of operators on infinite dimensional Banach spaces
- Authors
- Kim, Sun Kwang; Lee, Han Ju
- Issue Date
- 1-Dec-2019
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Birkhoff-James orthogonality; The Bhatia-Semrl property; Banach space
- Citation
- LINEAR ALGEBRA AND ITS APPLICATIONS, v.582, pp 440 - 451
- Pages
- 12
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- LINEAR ALGEBRA AND ITS APPLICATIONS
- Volume
- 582
- Start Page
- 440
- End Page
- 451
- ISSN
- 0024-3795
1873-1856
- Abstract
- We study the Birkhoff-James orthogonality on operator spaces in terms of the Bhatia-Semrl property. We first prove that every functional on a Banach space X has the Bhatia-Semrl property if and only if X is reflexive. We also find some geometric conditions of Banach space which ensure the denseness of operators with Bhatia-Semrl property. Finally, we investigate operators with the Bhatia-Semrl property when a domain space is L-1[0, 1] or C[0, 1]. (C) 2019 Elsevier Inc. All rights reserved.
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Related Researcher
- Lee, Han Ju
- College of Education (Department of Mathematics Education)