On Banach spaces with the approximate hyperplane series property
Functional Analysis
2017-04-25 v1
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-Bollob\'as version of a classical result of V. Zizler leads to a new characterization of the AHSP for dual spaces in terms of -continuous operators and other related results.
Cite
@article{arxiv.1407.7848,
title = {On Banach spaces with the approximate hyperplane series property},
author = {Yun Sung Choi and Sun Kwang Kim and Han Ju Lee and Miguel Martín},
journal= {arXiv preprint arXiv:1407.7848},
year = {2017}
}
Comments
12 pages