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On the multiplication operator on analytic function spaces | ||
| Iranian Journal of Science | ||
| مقاله 3، دوره 37، شماره 4، اسفند 2013، صفحه 449-452 اصل مقاله (73.16 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1780 | ||
| نویسنده | ||
| Kh. Jahedi* | ||
| Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran | ||
| چکیده | ||
| Let be a Hilbert space of functions analytic on a plane domain such that for every in the functional of evaluation at is bounded. Assume further that contains the constants and admits multiplication by the independent variable , , as a bounded operator. We give sufficient conditions for to be reflexive for all positive integers . | ||
| کلیدواژهها | ||
| Hilbert spaces of analytic functions؛ multiplication operators؛ reflexive operator؛ multipliers؛ Caratheodory hull؛ bounded point evaluation؛ spectral set | ||
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