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| ESSENTIALLY NORMAL+SMALL COMPACT=STRONGLY IRREDUCIBLE |
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Citation： |
Ji Youqing,Jiang Chunlan,Wang Zongyao.ESSENTIALLY NORMAL+SMALL COMPACT=STRONGLY IRREDUCIBLE[J].Chinese Annals of Mathematics B,1997,18(4):485~494 |
| Page view： 1149
Net amount： 684 |
Authors： |
Ji Youqing; Jiang Chunlan;Wang Zongyao |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
Given an essentially normal operator $T$ with connected spectrum and ind$(\lambda-T)>0$ for $\lambda$ in $\rho_F(T)\cap\sigma(T)$, and a positive number $\epsilon$,
the authors show that there exists a compact $K$ with $||K||<\epsilon$ such that $T+K$ is strongly irreducible. |
Keywords： |
Essentially normal operator, Compact operator, Spectral picture |
Classification： |
41A10, 47A55 |
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