Title of article
On the Numerical Range of some Bounded Operators
Author/Authors
Khorami, M.M Payame Noor University , Ershad, F Payame Noor University , Yousefi, B Payame Noor University
Pages
14
From page
1
To page
14
Abstract
In this paper, we give conditions under which the numerical range of a weighted composition operator, acting on a Hilbert space, contains zero as an interior point and we investigate extreme points of the numerical range of an operator acting on an arbitrary Banach space. Also, we give necessary and sufficient conditions under which the numerical range of an operator on some Banach spaces, to be closed. Finally, we characterize the structure of the numerical range of an operatoracting on Banach weighted Hardy spaces.
Keywords
extreme point , composition operator , numerical range , bounded point evaluation , Banach weighted Hardy spaces
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2021
Record number
2687308
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