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Granero, A. S. ; Jiménez Sevilla, María del Mar ; Moreno, José Pedro | Polish Acad Sciencies Inst Mathematics | 1998Let BX be the set of all closed, convex and bounded subsets of a Banach space X equipped with the Hausdor metric. In the rst part of this work we study the density character of BX and investigate its connections with the geometry of the space, i[...]texto impreso
Granero, A. S. ; Jiménez Sevilla, María del Mar ; Moreno, José Pedro | Hebrew University Magnes Press | 1999-12We prove that every Banach space can be isometrically and 1-complementably embedded into a Banach space which satisfies property ? and has the same character of density. Then we show that, nevertheless, property ? satisfies a hereditary property[...]texto impreso
Granero, A. S. ; Jiménez Sevilla, María del Mar ; Moreno, José Pedro | Universidad de Extremadura, Departamento de Matemáticas | 2004In section 1 we present definitions and basic results concerning the Mazur intersection property (MIP) and some of its related properties as the MIP* . Section 2 is devoted to renorming Banach spaces with MIP and MIP*. Section 3 deals with the c[...]texto impreso
Georgiev, P. G. ; Granero, A. S. ; Jiménez Sevilla, María del Mar ; Moreno, José Pedro | London Mathematical Sociey | 2000-04It is proved that the dual of a Banach space with the Mazur intersection property is almost weak* Asplund. Analogously, the predual of a dual space with the weak* Mazur intersection property is almost Asplund. Through the use of these arguments,[...]texto impreso
Jiménez Sevilla, María del Mar ; Granero, A. S. ; Moreno, José Pedro | Cambridge Univ Press | 2002-06We prove that spaces with an uncountable omega-independent family fail the Kunen-Shelah property. Actually, if {x(i)}(iis an element ofI) is an uncountable w-independent family, there exists an uncountable subset J.C I such that x(j) is not an e[...]texto impreso
Let ? be a regular cardinal. It is proved, among other things, that: (i) if J(?) is the corresponding long James space, then every closed subspace Y ? J(?), with Dens (Y) = ?, has a copy of 2(?) complemented in J(?); (ii) if Y is a closed subspa[...]texto impreso
Consider the isometric property (P): the restriction to the unit ball of every bounded linear functional is sequentially continuous in the ball topology. We present in this paper a systematic study of this property, which is a sequential version[...]
