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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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
Keywords: numerical range; weighted Hardy space; compact operator; composition operator 
@article{10_1007_s10587_012_0024_7,
     author = {Jahedi, Khadijeh and Yousefi, Bahmann},
     title = {Numerical range of operators acting on {Banach} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {495--503},
     publisher = {mathdoc},
     volume = {62},
     number = {2},
     year = {2012},
     doi = {10.1007/s10587-012-0024-7},
     mrnumber = {2990189},
     zbl = {1259.47009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0024-7/}
}
TY  - JOUR
AU  - Jahedi, Khadijeh
AU  - Yousefi, Bahmann
TI  - Numerical range of operators acting on Banach spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2012
SP  - 495
EP  - 503
VL  - 62
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0024-7/
DO  - 10.1007/s10587-012-0024-7
LA  - en
ID  - 10_1007_s10587_012_0024_7
ER  - 
%0 Journal Article
%A Jahedi, Khadijeh
%A Yousefi, Bahmann
%T Numerical range of operators acting on Banach spaces
%J Czechoslovak Mathematical Journal
%D 2012
%P 495-503
%V 62
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0024-7/
%R 10.1007/s10587-012-0024-7
%G en
%F 10_1007_s10587_012_0024_7
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

Cité par Sources :