Spatial Numerical Range of Operators on Weighted Hardy Spaces

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 n...

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Bibliographic Details
Main Authors: Abdolaziz Abdollahi, Mohammad Taghi Heydari
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/812680
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