(h, k)-Dichotomy and Lyapunov Type Norms
The paper considers a general concept of nonuniform (h, k)-dichotomy for evolution operators in Banach spaces. Two characterizations of this concept in terms of some families of norms compatible with the dichotomy projectors are given.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/awutm-2018-0019 |
| _version_ | 1818191935607668736 |
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| author | Crai Violeta Megan Mihail |
| author_facet | Crai Violeta Megan Mihail |
| author_sort | Crai Violeta |
| collection | DOAJ |
| description | The paper considers a general concept of nonuniform (h, k)-dichotomy for evolution operators in Banach spaces. Two characterizations of this concept in terms of some families of norms compatible with the dichotomy projectors are given. |
| first_indexed | 2024-12-12T00:22:31Z |
| format | Article |
| id | doaj.art-1b7cf8d5cf884b3fb545cc7903436a56 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-12-12T00:22:31Z |
| publishDate | 2018-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-1b7cf8d5cf884b3fb545cc7903436a562022-12-22T00:44:42ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072018-12-0156211513010.2478/awutm-2018-0019awutm-2018-0019(h, k)-Dichotomy and Lyapunov Type NormsCrai Violeta0Megan Mihail1Department of Mathematics, West University of Timişoara, V. Pârvan Blvd. No. 4, 300223 TimişoaraRomaniaAcademy of Romanian Scientists, Independenţei 54, 050094 Bucureşti, West University of Timişoara, Faculty of Mathematics and Computer Sciences, V. Pârvan Blv. No. 4, 300223 Timişoara, RomaniaThe paper considers a general concept of nonuniform (h, k)-dichotomy for evolution operators in Banach spaces. Two characterizations of this concept in terms of some families of norms compatible with the dichotomy projectors are given.https://doi.org/10.2478/awutm-2018-0019evolution operators(h, k)-dichotomy |
| spellingShingle | Crai Violeta Megan Mihail (h, k)-Dichotomy and Lyapunov Type Norms Annals of the West University of Timisoara: Mathematics and Computer Science evolution operators (h, k)-dichotomy |
| title | (h, k)-Dichotomy and Lyapunov Type Norms |
| title_full | (h, k)-Dichotomy and Lyapunov Type Norms |
| title_fullStr | (h, k)-Dichotomy and Lyapunov Type Norms |
| title_full_unstemmed | (h, k)-Dichotomy and Lyapunov Type Norms |
| title_short | (h, k)-Dichotomy and Lyapunov Type Norms |
| title_sort | h k dichotomy and lyapunov type norms |
| topic | evolution operators (h, k)-dichotomy |
| url | https://doi.org/10.2478/awutm-2018-0019 |
| work_keys_str_mv | AT craivioleta hkdichotomyandlyapunovtypenorms AT meganmihail hkdichotomyandlyapunovtypenorms |