@inbook{cfa3c773e6af4a65abb26b0fbf149076,
title = "On some local Bishop-Phelps-Bollob{\'a}s properties",
abstract = "We continue a line of study initiated in [12, 16] about some local versions of Bishop-Phelps-Bollob{\'a}s-type properties for bounded linear operators. We introduce and focus our attention on two of these local properties, which we call Lp,o and Lo,p, and we explore the relation between them and some geometric properties of the underlying spaces, such as spaces having strict convexity, local uniform rotundity, and property β of Lindenstrauss. At the end of the paper, we present a diagram comparing all the existing Bishop-Phelps-Bollob{\'a}s type properties with each other. Some open questions are left throughout the article.",
keywords = "Banach space, Bishop-Phelps-Bollob{\'a}s property, norm attaining operators",
author = "Sheldon Dantas and Kim, \{Sun Kwang\} and Lee, \{Han Ju\} and Martin Mazzitelli",
note = "Publisher Copyright: {\textcopyright} 2020 Walter de Gruyter GmbH, Berlin/Munich/Boston.",
year = "2020",
doi = "10.1515/9783110656756-008",
language = "English",
series = "Advances in Analysis and Geometry",
publisher = "Walter de Gruyter GmbH",
pages = "109--121",
editor = "Aron, \{Richard M.\} and \{Gallardo Guti{\'e}rrez\}, \{Eva A.\} and Miguel Martin and Dmitry Ryabogin and Spitkovsky, \{Ilya M.\} and Artem Zvavitch",
booktitle = "Advances in Analysis and Geometry",
address = "Germany",
}