Person:
Ruiz Bermejo, César

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First Name
César
Last Name
Ruiz Bermejo
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Informática
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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  • Publication
    The convex hull of a Banach-Saks set
    (Elsevier, 2014) López Abad, J.; Ruiz Bermejo, César; Tradacete Pérez, Pedro
    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.