1 citations · 1 across the 3 of their papers we have counts for
6 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 .
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 the numerical index of absolute symmetric norms on the plane
Javier Merí, Alicia Quero
We give a lower bound for the numerical index of two-dimensional real spaces with absolute and symmetric norm. This allows us to compute the numerical index of the two-dimensional…
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…