Affiliation:
1. Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
Abstract
We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators. We also prove that the spatial numerical range of finite rank operators on weighted Hardy spaces is star shaped; though, in general, it does not need to be convex.
Subject
Mathematics (miscellaneous)
Cited by
1 articles.
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1. Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2017-01-26