On some dichotomy concepts with different growth rates for evolution operators in Banach spaces
This paper treats three concepts of (h, k)-dichotomy and their correspondents in the uniform cases. The connections between them are established through examples and counterexamples presented on the Banach space of square-summable sequences of real numbers.
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2015-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutm-2015-0020 |
| _version_ | 1818469194035888128 |
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| author | Seimeanu Nicolae Marian |
| author_facet | Seimeanu Nicolae Marian |
| author_sort | Seimeanu Nicolae Marian |
| collection | DOAJ |
| description | This paper treats three concepts of (h, k)-dichotomy and their correspondents in the uniform cases. The connections between them are established through examples and counterexamples presented on the Banach space of square-summable sequences of real numbers. |
| first_indexed | 2024-04-13T21:21:17Z |
| format | Article |
| id | doaj.art-ce37ba07cd2540219c2eb47bfb8efb4e |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-04-13T21:21:17Z |
| publishDate | 2015-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-ce37ba07cd2540219c2eb47bfb8efb4e2022-12-22T02:29:29ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072015-12-0153213315010.1515/awutm-2015-0020awutm-2015-0020On some dichotomy concepts with different growth rates for evolution operators in Banach spacesSeimeanu Nicolae Marian0West University of Timişoara, Department of Mathematics, Faculty of Mathematics and Computer Science, V. Pârvan Blv. No. 4, 300223 Timişoara, RomaniaThis paper treats three concepts of (h, k)-dichotomy and their correspondents in the uniform cases. The connections between them are established through examples and counterexamples presented on the Banach space of square-summable sequences of real numbers.https://doi.org/10.1515/awutm-2015-0020evolution operator(h,k)-dichotomystrong (h,k)-dichotomyweak (h.k)-dichotomy |
| spellingShingle | Seimeanu Nicolae Marian On some dichotomy concepts with different growth rates for evolution operators in Banach spaces Annals of the West University of Timisoara: Mathematics and Computer Science evolution operator (h,k)-dichotomy strong (h,k)-dichotomy weak (h.k)-dichotomy |
| title | On some dichotomy concepts with different growth rates for evolution operators in Banach spaces |
| title_full | On some dichotomy concepts with different growth rates for evolution operators in Banach spaces |
| title_fullStr | On some dichotomy concepts with different growth rates for evolution operators in Banach spaces |
| title_full_unstemmed | On some dichotomy concepts with different growth rates for evolution operators in Banach spaces |
| title_short | On some dichotomy concepts with different growth rates for evolution operators in Banach spaces |
| title_sort | on some dichotomy concepts with different growth rates for evolution operators in banach spaces |
| topic | evolution operator (h,k)-dichotomy strong (h,k)-dichotomy weak (h.k)-dichotomy |
| url | https://doi.org/10.1515/awutm-2015-0020 |
| work_keys_str_mv | AT seimeanunicolaemarian onsomedichotomyconceptswithdifferentgrowthratesforevolutionoperatorsinbanachspaces |