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 |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/175/abstr.html |
| _version_ | 1828292873636806656 |
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| author | Olivia Saierli |
| author_facet | Olivia Saierli |
| author_sort | Olivia Saierli |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T11:15:21Z |
| format | Article |
| id | doaj.art-4ad8f3f2a645489084911280c843ca85 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T11:15:21Z |
| publishDate | 2012-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4ad8f3f2a645489084911280c843ca852022-12-22T02:48:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-10-012012175,19Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functionsOlivia SaierliWe 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.http://ejde.math.txstate.edu/Volumes/2012/175/abstr.htmlPeriodic evolution familiesuniform exponential stabilityboundednessevolution semigroupalmost periodic functions |
| spellingShingle | Olivia Saierli Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions Electronic Journal of Differential Equations Periodic evolution families uniform exponential stability boundedness evolution semigroup almost periodic functions |
| title | Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions |
| title_full | Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions |
| title_fullStr | Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions |
| title_full_unstemmed | Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions |
| title_short | Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions |
| title_sort | spectral mapping theorem for an evolution semigroup on a space of vector valued almost periodic functions |
| topic | Periodic evolution families uniform exponential stability boundedness evolution semigroup almost periodic functions |
| url | http://ejde.math.txstate.edu/Volumes/2012/175/abstr.html |
| work_keys_str_mv | AT oliviasaierli spectralmappingtheoremforanevolutionsemigrouponaspaceofvectorvaluedalmostperiodicfunctions |