Please use this identifier to cite or link to this item:
Title: On small combination of slices in Banach spaces
Authors: Basu, Sudeshna
Rao, T. S. S. R. K.
Keywords: Small combination of slices;M-Ideals;Strict ideals;U-Subspaces;Pequeña combinación de sectores;Ideales- M;Ideales estrictos;Subespacios en U
Issue Date: 2016
Publisher: Universidad de Extremadura
Abstract: The notion of Small Combination of Slices (SCS) in the unit ball of a Banach space was first introduced in [4] and subsequently analyzed in detail in [12] and [13]. In this work, we introduce the notion of BSCSP, which can be seen as a generalization of dentability in terms of SCS. We study certain stability results for the w*-BSCSP leading to a discussion on BSCSP in the context of ideals of Banach spaces. We prove that the w*-BSCSP can be lifted from a M-ideal to the whole Banach Space. We also prove similar results for strict ideals and U-subspaces of a Banach space. We note that the space C(K;X)* has w*-BSCSP when K is dispersed and X* has the w*-BSCSP.
Appears in Collections:Extracta Mathematicae Vol. 31, nº 1 (2016)

Files in This Item:
File Description SizeFormat 
2605-5686_31_1_1.pdf98,97 kBAdobe PDFView/Open

This item is licensed under a Creative Commons License Creative Commons