On uniform exponential trisplitting for cocycles of linear operators in Banach spaces
2018 ◽
Vol 56
(2)
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pp. 81-103
Keyword(s):
Type A
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AbstractThe aim of this paper is to study the concept of uniform exponential trisplitting for skew-product semiflow in Banach spaces. This concept is a generalisation of the well-known concept of uniform exponential trichotomy. We obtain necessary and sufficient conditions for this concept of Datko’s type. a character-isation in terms of Lyapunov functions is provided. The results are obtained from the point of view of the projector families, i.e. invariant and strongly invariant.
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