Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618040 | Journal of Mathematical Analysis and Applications | 2012 | 5 Pages |
Abstract
It is well known that if T=A⊕B, where A is compact, then T has a nontrivial hyperinvariant subspace. In this paper, we try to solve the hyperinvariant subspace problem for operators which have a compact part. Our main result is that if A is compact, then either or has a nontrivial hyperinvariant subspace.
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Mathematics
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