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http://hdl.handle.net/10662/8996
| 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. |
| URI: | http://hdl.handle.net/10662/8996 |
| Appears in Collections: | Extracta Mathematicae Vol. 31, nº 1 (2016) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_31_1_1.pdf | 98,97 kB | Adobe PDF | View/Open |
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