دورية أكاديمية
Spectral integration and spectral theory for non-Archimedean Banach spaces
| العنوان: | Spectral integration and spectral theory for non-Archimedean Banach spaces |
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| المؤلفون: | S. Ludkovsky, B. Diarra |
| المصدر: | International Journal of Mathematics and Mathematical Sciences, Vol 31, Iss 7, Pp 421-442 (2002) |
| بيانات النشر: | Hindawi Limited, 2002. |
| سنة النشر: | 2002 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields. We have determined the spectrum of some closed commutative subalgebras of the Banach algebra ℒ(E) of the continuous linear operators on a free Banach space E generated by projectors. We investigate the spectral integration of non-Archimedean Banach algebras. We define a spectral measure and prove several properties. We prove the non-Archimedean analog of Stone theorem. It also contains the case of C-algebras C∞(X,𝕂). We prove a particular case of a representation of a C-algebra with the help of a L(Aˆ,μ,𝕂)-projection-valued measure. We consider spectral theorems for operators and families of commuting linear continuous operators on the non-Archimedean Banach space. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 0161-1712 1687-0425 01611712 |
| Relation: | https://doaj.org/toc/0161-1712; https://doaj.org/toc/1687-0425 |
| DOI: | 10.1155/S016117120201150X |
| URL الوصول: | https://doaj.org/article/52c4ffb37af84b62b3da9e990f6f974b |
| رقم الأكسشن: | edsdoj.52c4ffb37af84b62b3da9e990f6f974b |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 01611712 16870425 |
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| DOI: | 10.1155/S016117120201150X |