Contractions with a unilateral shift summand are reflexive |
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Authors: | Pei Yuan Wu |
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Affiliation: | (1) Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan Republic of China |
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Abstract: | If T is a contraction on the Hilbert space H and there is an invariant subspace K for T such that T/K is similar to a backward shift, then T is reflexive. If similarity is replaced by quasi-similarity , then the same conclusion holds under the additional condition that the defect index of T be finite.This research was partially supported by National Science Council (Republic of China). |
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