Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603621 | Linear Algebra and its Applications | 2007 | 8 Pages |
Abstract
The generalized Weyl’s theorem holds for a Banach space operator T if and only if T or T∗ has the single valued extension property in the complement of the Weyl spectrum (or B-Weyl spectrum) and T has topological uniform descent at all λ which are isolated eigenvalues of T. Also, we show that the generalized Weyl’s theorem holds for analytically paranormal operators.
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