C0-semigroups of linear operators on some ultrametric Banach spaces
C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E. In contrast with the classical setting, the parameter of a given C0...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/52398 |
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| _version_ | 1832545897491202048 |
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| author | Toka Diagana |
| author_facet | Toka Diagana |
| author_sort | Toka Diagana |
| collection | DOAJ |
| description | C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E. In contrast with the classical setting, the parameter of a given C0-semigroup belongs to a clopen ball Ωr of the ground field K. As an illustration, we will discuss the solvability of some homogeneous p-adic differential equations. |
| format | Article |
| id | doaj-art-00d4f1293d1c40009f0a614097486670 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-00d4f1293d1c40009f0a6140974866702025-02-03T07:24:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5239852398C0-semigroups of linear operators on some ultrametric Banach spacesToka Diagana0Department of Mathematics, Howard University, 2441 6th Street, NW Washington 20059, DC, USAC0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E. In contrast with the classical setting, the parameter of a given C0-semigroup belongs to a clopen ball Ωr of the ground field K. As an illustration, we will discuss the solvability of some homogeneous p-adic differential equations.http://dx.doi.org/10.1155/IJMMS/2006/52398 |
| spellingShingle | Toka Diagana C0-semigroups of linear operators on some ultrametric Banach spaces International Journal of Mathematics and Mathematical Sciences |
| title | C0-semigroups of linear operators on some ultrametric Banach spaces |
| title_full | C0-semigroups of linear operators on some ultrametric Banach spaces |
| title_fullStr | C0-semigroups of linear operators on some ultrametric Banach spaces |
| title_full_unstemmed | C0-semigroups of linear operators on some ultrametric Banach spaces |
| title_short | C0-semigroups of linear operators on some ultrametric Banach spaces |
| title_sort | c0 semigroups of linear operators on some ultrametric banach spaces |
| url | http://dx.doi.org/10.1155/IJMMS/2006/52398 |
| work_keys_str_mv | AT tokadiagana c0semigroupsoflinearoperatorsonsomeultrametricbanachspaces |