From the 3 of 10 linked papers with an AI index.
10 papers
Projective norm-attainments and their implications
Manwook Han, Sun Kwang Kim, Miguel MartÃn +2
The paper establishes density and norm-attainment results for nuclear operators and polynomials in Banach spaces, investigates when projective norm-attaining elements fill the proj…
Differences between the uniform diameter two properties
Abraham Rueda Zoca
The paper defines uniform versions of the diameter‑two properties for Banach spaces via ultrapowers and proves that these uniform properties are all distinct from one another.
Strongly regular Banach spaces with big weakly open subsets in the unit ball
Ginés López-Pérez, Abraham Rueda Zoca
The authors construct, for each 1 < p < ∞, a Banach space whose bidual is strongly regular and that contains a closed convex symmetric set in its unit ball such that every non‑empt…
Banach spaces with the weak diametral diameter two property
Juan Guerrero-Viu, Miguel MartÃn, 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…
Almost preserved extreme points
Ramón J. Aliaga, Luis C. GarcÃa-Lirola, Juan Guerrero-Viu +2
In this paper we introduce the notion of an almost preserved extreme point (APEP) of a set as a weakening of the concept of preserved extreme points, and we systematically study su…
Transfinite Daugavet property
Antonio Avilés, Johann Langemets, Miguel MartÃn +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…