14 citations · 40 across the 38 of their papers we have counts for
6 papers · 1 filter
Transfinite octahedrality in spaces of operators
Abraham Rueda Zoca
We study necessary and sufficient conditions on a Banach space such that is transfinite (rigid) octahedral for any Banach space . We present several examples of suc…
Projective norm-attainments and their implications
Manwook Han, Sun Kwang Kim, Miguel Martín +1
We show that nuclear norm-attaining operators (resp.\ polynomials) are always -dense in the space of integral operators (resp.\ polynomials). Besides, the denseness is in norm…
Differences between the uniform diameter two properties
Abraham Rueda Zoca
We study uniform versions of the diameter two properties, that is, the uniform slice-D2P, the uniform D2P and the uniform SD2P, as the property that every ultrapower over any free…
Strongly regular Banach spaces with big weakly open subsets in the unit ball
Ginés López-Pérez, Abraham Rueda Zoca
We construct, given , a Banach space and a closed, convex and symmetric set with the following properties: 1) is strongly regular (hencefo…
Banach spaces with the weak diametral diameter two property
Juan Guerrero-Viu, Miguel Martín, Abraham Rueda Zoca
We introduce and systematically study the weak diametral diameter two property (weak-DD2P), a new geometric property that lies strictly between the diametral diameter two property…
Transfinite Daugavet property
Antonio Avilés, Johann Langemets, Miguel Martín +1
We extend the Daugavet property and a perfect version of it to transfinite cardinals in order to distinguish between spaces with the ordinary Daugavet property by some kind of comp…