Numerical range of operators acting on Banach spaces

Khadijeh Jahedi; Bahmann Yousefi

Displaying similar documents to “Numerical range of operators acting on Banach spaces”

Spatial numerical range of operators on weighted Hardy spaces.

Abdollahi, Abdolaziz, Heydari, Mohammad Taghi (2011)

International Journal of Mathematics and Mathematical Sciences

Similarity:

A survey on the numerical index of a Banach space.

Miguel Martín (2000)

Extracta Mathematicae

Similarity:

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

Similarity:

On convexity of composition and multiplication operators on weighted Hardy spaces.

Hedayatian, Karim, Karimi, Lotfollah (2009)

Abstract and Applied Analysis

Similarity:

On the abstract theorem of Picard.

Karahanyan, M.I. (2005)

Lobachevskii Journal of Mathematics

Similarity:

Spatial numerical ranges of elements of Banach algebras.

Gaur, A.K., Husain, T. (1989)

International Journal of Mathematics and Mathematical Sciences

Similarity:

CL-spaces and numerical radius attaining operators.

María D. Acosta (1990)

Extracta Mathematicae

Similarity:

Numerical index of vector-valued function spaces

Miguel Martín, Rafael Payá (2000)

Studia Mathematica

Similarity:

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.