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Slowly changing vectors and the asymptotic finite-dimensionality of an operator semigroup |
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| Authors: | Storozhuk K V |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
| Abstract: | Siberian Mathematical Journal - Let X be a Banach space and let T: X → X be a linear power bounded operator. Put X 0 = {x ∈ X | T n x → 0}. We prove that if X 0 ≠ X then... |
| Keywords: | operator semigroup asymptotic finite-dimensionality |
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