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| The Generalized p-Normal Operators and p-Hyponormal Operators on BanachSpace |
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Citation： |
Wei Guoqiang,Shen Youqiang.The Generalized p-Normal Operators and p-Hyponormal Operators on BanachSpace[J].Chinese Annals of Mathematics B,1987,8(1):70~79 |
| Page view： 962
Net amount： 784 |
Authors： |
Wei Guoqiang; Shen Youqiang |
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| Abstract： |
In this paper, the authors discuss the generalized p-normal and p-hyponormal operators on Banach space. Some results in this paper are the generalization of Sen’s results on generalized p-selfadjoint operator and some open questions of Sen’s are answered.
For the generalized p-normal operator’s, the following formulae are obtained:
r(T)=||T||,||(T-\Lambda I)^-1||=\frac{1}{dist(\Lambda,\sigma(T))}. |
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