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THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR OPERATORS FROM L-infinity(mu) TO UNIFORMLY CONVEX BANACH SPACES
- Authors
- Kim, Sun Kwang; Lee, Han Ju; Lin, Pei-Kee
- Issue Date
- Feb-2016
- Publisher
- YOKOHAMA PUBL
- Keywords
- Banach space; approximation; norm-attaining operators; Bishop-Phelps-Bollobas theorem
- Citation
- JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, v.17, no.2, pp 243 - 249
- Pages
- 7
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
- Volume
- 17
- Number
- 2
- Start Page
- 243
- End Page
- 249
- ISSN
- 1345-4773
1880-5221
- Abstract
- Let X = L-infinity(mu) and Y be uniformly convex Banach space. We show that the pair (X, Y) has the Bishop-Phelps-Bollobas property for any measure space (Omega, mu). This solves a question raised by Acosta, Aron, Garcia, and Maestre. We also prove that if X is either complex L-infinity (mu) or complex c(0), and Y is complex uniformly convex, then the pair (X, Y) also has the Bishop-Phelps-Bollobas property.
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Related Researcher
- Lee, Han Ju
- College of Education (Department of Mathematics Education)