The approximate Jordan forms of operators on Σ_e~1 type Banach spaces |
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基金项目: | supported by National Natural Science Foundation of China (Grant No.10771034); Tian Yuan Foundation of China (Grant No.10926173); Fujian Natural Science Foundation (GrantNo.2009J05002) |
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摘 要: | This paper studies the structure of operators on Σ1e type Banach spaces.It solves the problem of the small compact perturbations of operators with connected spectra.Namely,it shows that every operator with a connected spectrum on separable Σ1e type Banach spaces is a small compact perturbation of a strongly irreducible operator.Based on this result,this paper establishes the approximate Jordan forms of operators on Σ1e type Banach spaces with Schauder bases.
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关 键 词: | Σ1e type Banach spaces strongly irreducible operators operators with connected spectra approximate Jordan forms |
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