Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions
We give some characterizations for exponential stability of a periodic evolution family of bounded linear operators acting on a Banach space in terms of evolution semigroups acting on a special space of almost periodic functions. As a consequence, a spectral mapping theorem is stated.
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| Format: | Article |
| Language: | English |
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Texas State University
2012-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/175/abstr.html |