Boundedly Spaced Subsequences and Weak Dynamics
Weak supercyclicity is related to weak stability, which leads to the question that asks whether every weakly supercyclic power bounded operator is weakly stable. This is approached here by investigating weak l-sequential supercyclicity for Hilbert-space contractions through Nagy–Foliaş–Langer decomp...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/4732836 |
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| _version_ | 1849306346455826432 |
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| author | C. S. Kubrusly P. C. M. Vieira |
| author_facet | C. S. Kubrusly P. C. M. Vieira |
| author_sort | C. S. Kubrusly |
| collection | DOAJ |
| description | Weak supercyclicity is related to weak stability, which leads to the question that asks whether every weakly supercyclic power bounded operator is weakly stable. This is approached here by investigating weak l-sequential supercyclicity for Hilbert-space contractions through Nagy–Foliaş–Langer decomposition, thus reducing the problem to the quest of conditions for a weakly l-sequentially supercyclic unitary operator to be weakly stable, and this is done in light of boundedly spaced subsequences. |
| format | Article |
| id | doaj-art-2eaf104c157e45478aac61df2b54b1c7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2eaf104c157e45478aac61df2b54b1c72025-08-20T03:55:07ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/47328364732836Boundedly Spaced Subsequences and Weak DynamicsC. S. Kubrusly0P. C. M. Vieira1Applied Mathematics Department, Federal University, Rio de Janeiro, RJ, BrazilNational Laboratory for Scientific Computation, Petrópolis, RJ, BrazilWeak supercyclicity is related to weak stability, which leads to the question that asks whether every weakly supercyclic power bounded operator is weakly stable. This is approached here by investigating weak l-sequential supercyclicity for Hilbert-space contractions through Nagy–Foliaş–Langer decomposition, thus reducing the problem to the quest of conditions for a weakly l-sequentially supercyclic unitary operator to be weakly stable, and this is done in light of boundedly spaced subsequences.http://dx.doi.org/10.1155/2018/4732836 |
| spellingShingle | C. S. Kubrusly P. C. M. Vieira Boundedly Spaced Subsequences and Weak Dynamics Journal of Function Spaces |
| title | Boundedly Spaced Subsequences and Weak Dynamics |
| title_full | Boundedly Spaced Subsequences and Weak Dynamics |
| title_fullStr | Boundedly Spaced Subsequences and Weak Dynamics |
| title_full_unstemmed | Boundedly Spaced Subsequences and Weak Dynamics |
| title_short | Boundedly Spaced Subsequences and Weak Dynamics |
| title_sort | boundedly spaced subsequences and weak dynamics |
| url | http://dx.doi.org/10.1155/2018/4732836 |
| work_keys_str_mv | AT cskubrusly boundedlyspacedsubsequencesandweakdynamics AT pcmvieira boundedlyspacedsubsequencesandweakdynamics |