International Journal of Functional Analysis, Operator Theory and Applications
Volume 1, Issue 2, Pages 129 - 140
(December 2009)
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ESSENTIAL NORM AND COMPACTNESS OF COMBINATIONS OF WEIGHTED COMPOSITION OPERATORS
Fernanda Botelho and James Jamison
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Abstract:
In this paper, we determine the essential norm of a weighted composition
operator on spaces of vector valued continuous functions defined on a
compact Hausdorff space. We also provide necessary and sufficient
conditions for a finite sum of compact weighted composition operators to
be itself a compact operator. |
Keywords and phrases: weighted composition operators
compact operators. |
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