ON BANACH SPACES WITH THE APPROXIMATE HYPERPLANE SERIES PROPERTY
SCIE
SCOPUS
- Title
- ON BANACH SPACES WITH THE APPROXIMATE HYPERPLANE SERIES PROPERTY
- Authors
- Choi, YS; Kim, SK; Lee, HJ; Martin, M
- Date Issued
- 2015-04
- Publisher
- Banach Mathematical Research Group
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27122
- DOI
- 10.15352/bjma/09-4-13
- ISSN
- 1735-8787
- Article Type
- Article
- Citation
- Banach Journal of Mathematical Analysis, vol. 9, no. 4, page. 243 - 258, 2015-04
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