activity
20192023
most citedA numerical range approach to Birkhoff-James orthogonality with applications

1 citations · 1 across the 3 of their papers we have counts for

collaborators

6 papers

math.FA2023

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,…

math.FA2023★ 1 cited

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…

math.FA2022

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 .

math.FA2020

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…

math.FA2020

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…

math.FA2019

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…