Exponential Stability of Operators and Operator Semigroups
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摘要
Extending earlier results of Datko, Pazy, and Littman on C0-semigroups, and of Przyluski and Weiss on operators, we prove the following. Let T be a bounded linear operator on a Banach space X and let r(T) denotes its spectral radius. Let E be a Banach function space over N with the property that limn→∞χ {0,...,n−1}E

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