On power-bounded operators and operators satisfying a resolvent condition |
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Authors: | John J H Miller |
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Institution: | (1) Mathematics Division, University of Massachusetts/Boston, 100 Arlington Street, 02116 Boston, Massachusetts, USA |
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Abstract: | We obtain, by means of a classification of the eigenvalues, local estimates for holomorphic. functions of a class of linear operators on a finite dimensional linear vector space. We apply these methods to find new proofs of some theorems ofKreiss andMorton, and in addition we give a local estimate of the powers of the inverse of any nonsingular operator in this class. |
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