13 citations · 26 across the 5 of their papers we have counts for
8 papers
On operators whose adjoints or second adjoints attain their norms
Sheldon Dantas, Mingu Jung, Miguel Martín
A long-standing open problem asks whether there exists an infinite-dimensional Banach space on which every bounded linear operator attains its norm. With and $…
Numerical index and Daugavet property of operator ideals and tensor products
Miguel Martín, Javier Merí, Alicia Quero
We show that the numerical index of any operator ideal is less than or equal to the minimum of the numerical indices of the domain and the range. Further, we show that the numerica…
On Banach spaces whose group of isometries acts micro-transitively on the unit sphere
Félix Cabello Sánchez, Sheldon Dantas, Vladimir Kadets +3
We study Banach spaces whose group of isometries acts micro-transitively on the unit sphere. We introduce a weaker property, which one-complemented subspaces inherit, that we call…
There is no operatorwise version of the Bishop-Phelps-Bollobás property
Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim +2
Given two real Banach spaces and with dimensions greater than one, it is shown that there is a sequence of norm attaining norm-one operators fro…
On Banach spaces with the approximate hyperplane series property
Yun Sung Choi, Sun Kwang Kim, Han Ju Lee +1
We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get…
On the Bishop-Phelps-Bollobás property for numerical radius
Sun Kwang Kim, Han Ju Lee, Miguel Martín
We study the Bishop-Phelps-Bollobás property for numerical radius (in short, BPBp-nu) and find sufficient conditions for Banach spaces ensuring the BPBp-nu. Among other results, we…
The Bishop-Phelps-Bollobás theorem for operators on
Yun Sung Choi, Sun Kwang Kim, Han Ju Lee +1
In this paper we show that the Bishop-Phelps-Bollobás theorem holds for for all measures and and also holds for $\mathcal{L}(L_1(μ),L_\infty(ν…
Numerical index of absolute sums of Banach spaces
Miguel Martín, Javier Merí, Mikhail Popov +1
We study the numerical index of absolute sums of Banach spaces, giving general conditions which imply that the numerical index of the sum is less or equal than the infimum of the n…