4 papers
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…