Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916446849728512 |
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| author | Albanese, Angela A. Bonet, José Ricker, Werner J. |
| author_facet | Albanese, Angela A. Bonet, José Ricker, Werner J. |
| contents | Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various spectral properties of generalized Cesàro operators acting in large classes of classical BK-sequence spaces. Of particular interest is to determine the eigenvalues and the corresponding eigenvectors of such operators and to decide whether (or not) the operators are power bounded, mean ergodic and supercyclic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09238 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces Albanese, Angela A. Bonet, José Ricker, Werner J. Functional Analysis Primary 46B42, 46B45, 47B37, Secondary 46B40, 47A10, 47A16, 47A35 Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various spectral properties of generalized Cesàro operators acting in large classes of classical BK-sequence spaces. Of particular interest is to determine the eigenvalues and the corresponding eigenvectors of such operators and to decide whether (or not) the operators are power bounded, mean ergodic and supercyclic. |
| title | Mean ergodic and related properties of generalized Cesàro operators in BK-sequence spaces |
| topic | Functional Analysis Primary 46B42, 46B45, 47B37, Secondary 46B40, 47A10, 47A16, 47A35 |
| url | https://arxiv.org/abs/2402.09238 |