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ON BANACH SPACES WITH THE APPROXIMATE HYPERPLANE SERIES PROPERTYopen access
- Issue Date
- 2015
- Publisher
- SPRINGER BASEL AG
- Keywords
- Banach space; approximation; norm-attaining operators; Bishop-Phelps-Bollobas theorem
- Citation
- BANACH JOURNAL OF MATHEMATICAL ANALYSIS, v.9, no.4, pp 243 - 258
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- BANACH JOURNAL OF MATHEMATICAL ANALYSIS
- Volume
- 9
- Number
- 4
- Start Page
- 243
- End Page
- 258
- ISSN
- 2662-2033
1735-8787
- Abstract
- We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get a stability result to vector-valued spaces of integrable functions. On the other hand, the study of a possible Bishop-Phelps-Bollobas version of a classical result of V. Zizler leads to a new characterization of the AHSP for dual spaces in terms of w*-continuous operators and other related results.
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Related Researcher
- Lee, Han Ju
- College of Education (Department of Mathematics Education)