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Subjects
47-XX Operator theory
47Axx General theory of linear operators
47A12 Numerical range, numerical radius

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Recent progress and open questions on the numerical index of Banach spaces.

Vladimir Kadets, Miguel Martín, Rafael Payá (2006)

RACSAM

The aim of this paper is to review the state-of-the-art of recent research concerning the numerical index of Banach spaces, by presenting some of the results found in the last years and proposing a number of related open problems.

Reflexive spaces and numerical radius attaining operators.

María D. Acosta, M. Ruiz Galán (2000)

Extracta Mathematicae

In this note we deal with a version of James' Theorem for numerical radius, which was already considered in [4]. First of all, let us recall that this well known classical result states that a Banach space satisfying that all the (bounded and linear) functionals attain the norm, has to be reflexive [16].

Currently displaying 1 – 2 of 2

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