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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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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.