Norm attaining and numerical radius attaining operators.

María D. Acosta; Rafael Payá

Displaying similar documents to “Norm attaining and numerical radius attaining operators.”

CL-spaces and numerical radius attaining operators.

María D. Acosta (1990)

Extracta Mathematicae

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A space by W. Gowers and new results on norm and numerical radius attaining operators

Maria D. Acosta, Francisco J. Aguirre, Rafael Payá (1992)

Acta Universitatis Carolinae. Mathematica et Physica

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Numerical radius attaining operators.

María D. Acosta, Rafael Payá Albert (1987)

Extracta Mathematicae

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Reflexive spaces and numerical radius attaining operators.

María D. Acosta, M. Ruiz Galán (2000)

Extracta Mathematicae

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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].

The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)

Antonio J. Guirao, Olena Kozhushkina (2013)

Studia Mathematica

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We show that the set of bounded linear operators from X to X admits a Bishop-Phelps-Bollobás type theorem for numerical radius whenever X is ℓ₁(ℂ) or c₀(ℂ). As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollobás theorem for ℓ₁(ℂ).

Numerical index of vector-valued function spaces

Miguel Martín, Rafael Payá (2000)

Studia Mathematica

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We show that the numerical index of a $c_{0}$ -, $l_{1}$ -, or $l_{\infty}$ -sum of Banach spaces is the infimum of the numerical indices of the summands. Moreover, we prove that the spaces C(K,X) and $L_{1} (μ, X)$ (K any compact Hausdorff space, μ any positive measure) have the same numerical index as the Banach space X. We also observe that these spaces have the so-called Daugavet property whenever X has the Daugavet property.

A survey on the numerical index of a Banach space.

Miguel Martín (2000)

Extracta Mathematicae

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Numerical range preserving operators on a Banach algebra

V. Pellegrini (1975)

Studia Mathematica

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On the abstract theorem of Picard.

Karahanyan, M.I. (2005)

Lobachevskii Journal of Mathematics

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