9 papers
The Birkhoff-James orthogonality and norm attainment for multilinear maps
Geunsu Choi, Sun Kwang Kim
Very recently, motivated by the result of Bhatia and Šemrl which characterizes the Birkhoff-James orthogonality of operators on a finite dimensional Hilbert space in terms of norm…
On various types of density of numerical radius attaining operators
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee +1
In this paper, we are interested in studying two properties related to the denseness of the operators which attain their numerical radius: the Bishop-Phelps-Bollobás point and oper…
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…
On some local Bishop-Phelps-Bollobás properties
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee +1
We continue a line of study about some local versions of Bishop-Phelps-Bollobás type properties for bounded linear operators. We introduce and focus our attention on two of these l…
Strong subdifferentiability and local Bishop-Phelps-Bollobás properties
Sheldon Dantas, Sun Kwang Kim, Han Ju Lee +1
It has been recently presented some local versions of the Bishop-Phelps-Bollobás type property for operators. In the present article, we continue studying these properties for mult…
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…