Some conditions for a co-semigroup to be asymptotically finite-dimensional

Date

2003-09-01

Author

Emelyanov, Eduard

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We study the class of bounded C-0-semigroups T = (T-t)(tgreater than or equal to0) on a Banach space X satisfying the asymptotic finite dimensionality condition: codim X-0(T) infinity)parallel toT(t)xparallel to = 0}. We prove a theorem which provides some necessary and sufficient conditions for asymptotic finite dimensionality.

Subject Keywords

C-0-semigroup, invariant subspace of a semi-roup, almost periodic semigroup, BANACH-SPACES

URI

https://hdl.handle.net/11511/94750

Journal

SIBERIAN MATHEMATICAL JOURNAL

DOI

https://doi.org/10.1023/a:1025976401206

Collections

Department of Mathematics, Article

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Citation Formats

E. Emelyanov, “Some conditions for a co-semigroup to be asymptotically finite-dimensional,” SIBERIAN MATHEMATICAL JOURNAL, vol. 44, no. 5, pp. 793–796, 2003, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94750.