Numerical range of operators acting on Banach spaces
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 2, pp. 495-503.

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The aim of the paper is to propose a definition of numerical range of an operator on reflexive Banach spaces. Under this definition the numerical range will possess the basic properties of a canonical numerical range. We will determine necessary and sufficient conditions under which the numerical range of a composition operator on a weighted Hardy space is closed. We will also give some necessary conditions to show that when the closure of the numerical range of a composition operator on a small weighted Hardy space has zero.
DOI : 10.1007/s10587-012-0024-7
Classification : 30H10, 47A12, 47B33, 47B37
Mots-clés : numerical range; weighted Hardy space; compact operator; composition operator 
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Jahedi, Khadijeh; Yousefi, Bahmann. Numerical range of operators acting on Banach spaces. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 2, pp. 495-503. doi : 10.1007/s10587-012-0024-7. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0024-7/

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