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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/812680 |
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| _version_ | 1832552313676365824 |
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| author | Abdolaziz Abdollahi Mohammad Taghi Heydari |
| author_facet | Abdolaziz Abdollahi Mohammad Taghi Heydari |
| author_sort | Abdolaziz Abdollahi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a8d2b29d65b5456c9dd2896fd703c901 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a8d2b29d65b5456c9dd2896fd703c9012025-02-03T05:58:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/812680812680Spatial Numerical Range of Operators on Weighted Hardy SpacesAbdolaziz Abdollahi0Mohammad Taghi Heydari1Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranDepartment of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranWe 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.http://dx.doi.org/10.1155/2011/812680 |
| spellingShingle | Abdolaziz Abdollahi Mohammad Taghi Heydari Spatial Numerical Range of Operators on Weighted Hardy Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Spatial Numerical Range of Operators on Weighted Hardy Spaces |
| title_full | Spatial Numerical Range of Operators on Weighted Hardy Spaces |
| title_fullStr | Spatial Numerical Range of Operators on Weighted Hardy Spaces |
| title_full_unstemmed | Spatial Numerical Range of Operators on Weighted Hardy Spaces |
| title_short | Spatial Numerical Range of Operators on Weighted Hardy Spaces |
| title_sort | spatial numerical range of operators on weighted hardy spaces |
| url | http://dx.doi.org/10.1155/2011/812680 |
| work_keys_str_mv | AT abdolazizabdollahi spatialnumericalrangeofoperatorsonweightedhardyspaces AT mohammadtaghiheydari spatialnumericalrangeofoperatorsonweightedhardyspaces |