Some Conditions for a C0-Semigroup to Be Asymptotically Finite-Dimensional |
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| Authors: | Emel'yanov E Yu |
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| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk |
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| Abstract: | We study the class of bounded C
0-semigroups T=(T
t
)
t 0 on a Banach space X satisfying the asymptotic finite dimensionality condition: codim X
0(T)< , where X
0(T):={x X:limt  T
t
x=0}. We prove a theorem which provides some necessary and sufficient conditions for asymptotic finite dimensionality. |
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| Keywords: | C
0-semigroup invariant subspace of a semigroup almost periodic semigroup |
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