61 citations · 554 across the 47 of their papers we have counts for
52 papers
Generating operators between Banach spaces
Vladimir Kadets, Miguel Martin, Javier Meri +1
We introduce and study the notion of generating operators as those norm-one operators such that for every , the set $\{x\in X\colon \|x\|\leq 1,…
A numerical range approach to Birkhoff-James orthogonality with applications
Miguel Martin, Javier Meri, Alicia Quero +2
The main aim of this paper is to provide characterizations of Birkhoff-James orthogonality (BJ-orthogonality in short) in a number of families of Banach spaces in terms of the elem…
Diametral notions for elements of the unit ball of a Banach space
Miguel Martin, Yoël Perreau, Abraham Rueda Zoca
We introduce extensions of -points and Daugavet points in which slices are replaced by relative weakly open subsets (super -points and super Daugavet points) or by convex com…
Weak-star quasi norm attaining operators
Geunsu Choi, Mingu Jung, Sun Kwang Kim +1
For Banach spaces and , a bounded linear operator is said to weak-star quasi attain its norm if the -closure of the image by of…
Residuality in the set of norm attaining operators between Banach spaces
Mingu Jung, Miguel Martin, Abraham Rueda Zoca
We study the relationship between the residuality of the set of norm attaining functionals on a Banach space and the residuality and the denseness of the set of norm attaining oper…
On the compact operators case of the Bishop-Phelps-Bollobás property for numerical radius
Domingo Garcia, Manuel Maestre, Miguel Martin +1
We study the Bishop-Phelps-Bollobás property for numerical radius restricted to the case of compact operators (BPBp-nu for compact operators in short). We show that spaces…