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| THE (U+K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY |
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Citation： |
Ji Youqing,Jiang Chunlan.THE (U+K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY[J].Chinese Annals of Mathematics B,1998,19(2):217~228 |
| Page view： 1161
Net amount： 618 |
Authors： |
Ji Youqing; Jiang Chunlan |
Foundation： |
Project supported by the National Natural Science
Foundation of China. |
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| Abstract： |
The authors characterize the $(\Cal U+\Cal K)$-orbits of a class
essentially normal operators and prove that some essentially normal
operators with connected spectrum are strongly irreducible after a small
compact perturbation. This partially answers a question of Domigo A. Herrero. |
Keywords： |
Strongly irreducible operator, Compact perturbation,
Normal operator |
Classification： |
47A10, 47A55 |
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