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López Abad, J. and Ruiz Bermejo, César and Tradacete Pérez, Pedro
(2014)
*The convex hull of a Banach-Saks set.*
Journal of Functional Analysis, 266
(4).
pp. 2251-2280.
ISSN 0022-1236

PDF
Restringido a Repository staff only 443kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022123613002462

## Abstract

A subset A of a Banach space is called Banach–Saks when every sequence in A has a Cesàro convergent subsequence. Our interest here focuses on the following problem: is the convex hull of a Banach–Saks set again Banach–Saks? By means of a combinatorial argument, we show that in general the answer is negative. However, sufficient conditions are given in order to obtain a positive result.

Item Type: | Article |
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Uncontrolled Keywords: | Banach–Saks property; Convex hull; Schreier spaces; Ramsey property |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 32866 |

Deposited On: | 25 Aug 2015 08:55 |

Last Modified: | 25 Aug 2015 08:55 |

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