22 citations · 76 across the 16 of their papers we have counts for
19 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…
On the numerical index of the real two-dimensional space
Javier Meri, Alicia Quero
We compute the numerical index of the two-dimensional real space for and .
On the numerical index with respect to an operator
Vladimir Kadets, Miguel Martin, Javier Meri +2
Given Banach spaces and , and a norm-one operator , the numerical index with respect to , , is the greatest constant such that…
Spear operators between Banach spaces
Vladimir Kadets, Miguel Martin, Javier Meri +1
The aim of this manuscript is to study \emph{spear operators}: bounded linear operators between Banach spaces and satisfying that for every other bounded linear operato…
On a second numerical index for Banach spaces
Sun Kwang Kim, Han Ju Lee, Miguel Martin +1
We introduce a second numerical index for real Banach spaces with non-trivial Lie algebra, as the best constant of equivalence between the numerical radius and the quotient of the…