Small compact perturbation of strongly irreducible operators |
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| Authors: | You Qing Ji and Chun Lan Jiang |
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| Institution: | (1) Department of Mathematics, Jilin university, 130023 Changchun, People's Republic of China;(2) Department of Applied Mathematics, Hebei university of Technology, 300130 Tianjin, People's Republic of China |
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| Abstract: | An operatorT onH is called strongly irreducible ifT is not similar to any reducible operators. In this paper, we shall say  yes to answer the following question raised by D. A. Herrero.Given an operatorT with connected spectrum  (T) and a positive number  , can we find a compact operatorK with  K < such thatT+K is strongly irreducible?Supported by National Natural Science Foundation of China(19901011), Mathematical Center of State Education Commission of China and 973 Project of China |
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| Keywords: | 47A05 47A55 |
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