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LOCAL SPECTRAL PROPERTY OF RELATIVELY REGULAR OPERATORS

초록/요약

In this paper, we study some relatively regular operators T such that T = TST for some S is an element of L(H). We give some spectral and local spectral properties between T and S. We also show that some relatively regular operators T have a nontrivial invariant subspace. Finally, we introduce and study the local spectral property of relatively regular operators modulo a nilpotent operator.

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