6 citations · 11 across the 8 of their papers we have counts for
15 papers
Non-rough norms and dentability in spaces of operators
Susmita Seal, Sudeshna Basu, Julio Becerra Guerrero +1
In this work, we study non-rough norms in L(X,Y), the space of bounded linear operators between Banach spaces X and Y. We prove that L(X,Y) has non-rough norm if and only if X* and…
Coherent states for equally spaced, homogeneous waveguide arrays
Julio Guerrero, Héctor M. Moya-Cessa
Coherent states for equally spaced, homogeneous waveguide arrays are defined, in the infinite, semiinfinite and finite cases, and resolutions of the identity are constructed, using…
The Mazur--Ulam property in -sum and -sum of strictly convex Banach spaces
Julio Becerra Guerrero
In this paper we deal with those Banach spaces which satisfy the Mazur--Ulam property, namely that every surjective isometry from the unit sphere of to the unit sphere…
Relatively weakly open convex combinations of slices and scattered C-Algebras
Becerra Guerrero J., Fernández-Polo F. J
We prove that given a locally compact Hausdorff space, , and a compact C-algebra, , the C-algebra satisfies that every convex combinatio…
Banach spaces where convex combinations of relatively weakly open subsets of the unit ball are relatively weakly open
Trond Arnold Abrahamsen, Julio Becerra Guerrero, Rainis Haller +2
We introduce and study Banach spaces which have property CWO, i.e., every finite convex combination of relatively weakly open subsets of their unit ball is open in the relative wea…
Lipschitz slices versus linear slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
The aim of this note is study the topology generated by Lipschitz slices in the unit sphere of a Banach space. We prove that the above topology agrees with the weak topology in the…
Some results on almost square Banach spaces
Julio Becerra Guerrero, Ginés López Pérez, Abraham Rueda Zoca
We study almost square Banach spaces under a topological point of view. Indeed, we prove that the class of Banach spaces which admits an equivalent norm to be ASQ is that of those…
Octahedrality in Lipschitz free Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
The aim of this note is to study octahedrality in vector valued Lipschitz-free Banach spaces on a metric space under topological hypotheses on it. As a consequence, we get that the…
Diametral diameter two properties in Banach spaces
Julio Becerra Guerrero, Ginés López Pérez, Abraham Rueda Zoca
The aim of this note is to provide several variants of the diameter two properties for Banach spaces. We study such properties looking for the abundance of diametral points, which…
Diameter two properties in James spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study the diameter two properties in the spaces , and . We show that the topological dual space of the previous Banach spaces fails every diameter two…
Subspaces of Banach spaces with big slices
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study when diameter two properties pass down to subspaces. We obtain that the slice two property (respectively diameter two property, strong diameter two property) passes down f…
Octahedral norms in spaces of operators
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study octahedral norms in the space of bounded linear operators between Banach spaces. In fact, we prove that has octahedral norm whenever and have octahedral…
Octahedral norms and convex combination of slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We study the relation between octahedral norms, Daugavet property and the size of convex combinations of slices in Banach spaces. We prove that the norm of an arbitrary Banach spac…
Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
We show that every Banach space containing isomorphic copies of can be equivalently renormed so that every nonempty relatively weakly open subset of its unit ball has diamete…
Big slices versus big relatively weakly open subsets in Banach spaces
Julio Becerra Guerrero, Gines Lopez Perez, Abraham Rueda Zoido
We study the unknown differences between the size of slices and relatively weakly open subsets of the unit ball in Banach spaces. We show that every Banach space containing isomorp…