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The Bishop-Phelps-Bollobas theorem for operators from l(1) sums of Banach spaces
- Authors
- Kim, Sun Kwang; Lee, Han Ju; Martin, Miguel
- Issue Date
- 15-Aug-2015
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Bishop-Phelps theorem; Norm attaining operators
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.428, no.2, pp 920 - 929
- Pages
- 10
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 428
- Number
- 2
- Start Page
- 920
- End Page
- 929
- ISSN
- 0022-247X
1096-0813
- Abstract
- We introduce a generalized approximate hyperplane series property for a pair (X, Y) of Banach spaces to characterize when (l(1)(X), Y) has the Bishop-Phelps-Bollobas property. In particular, we show that (X, Y) has this property if X, Y are finitedimensional, if X is a C(K) space and Y is a Hilbert space, or if X is Asplund and Y = C-0(L), where K is a compact Hausdorff space and L is a locally compact Hausdorff space. (C) 2015 Elsevier Inc. All rights reserved.
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Related Researcher
- Lee, Han Ju
- College of Education (Department of Mathematics Education)