Some Convergence Theorems for Operator Sequences
| dc.authorscopusid | 25123084500 | |
| dc.contributor.author | Mustafayev, Heybetkulu | |
| dc.date.accessioned | 2025-05-10T17:09:07Z | |
| dc.date.available | 2025-05-10T17:09:07Z | |
| dc.date.issued | 2020 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Mustafayev, Heybetkulu] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey | en_US |
| dc.description.abstract | Let A, T, and B be bounded linear operators on a Banach space. This paper is concerned mainly with finding some necessary and sufficient conditions for convergence in operator norm of the sequences {A(n)TB(n)} and {1/n Sigma(n-1)(i=0) A(i)TB(i)}. These results are applied to the Toeplitz, composition, and model operators. Some related problems are also discussed. | en_US |
| dc.description.sponsorship | TUBITAK (The Scientific and Technological Research Council of Turkey) 1001 Project MFAG [118F410] | en_US |
| dc.description.sponsorship | The author is grateful to the referee for his helpful remarks, suggestions, and substantial improvements to the paper. The author was supported by TUBITAK (The Scientific and Technological Research Council of Turkey) 1001 Project MFAG No: 118F410. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1007/s00020-020-02591-8 | |
| dc.identifier.issn | 0378-620X | |
| dc.identifier.issn | 1420-8989 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85088791897 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.1007/s00020-020-02591-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7049 | |
| dc.identifier.volume | 92 | en_US |
| dc.identifier.wos | WOS:000554730000001 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Mustafayev, Heybetkulu | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Hilbert Space | en_US |
| dc.subject | Banach Space | en_US |
| dc.subject | Compact Operator | en_US |
| dc.subject | Toeplitz Operator | en_US |
| dc.subject | Composition Operator | en_US |
| dc.subject | Model Operator | en_US |
| dc.subject | Local Spectrum | en_US |
| dc.subject | Operator Sequence | en_US |
| dc.subject | Operator Average | en_US |
| dc.subject | Convergence | en_US |
| dc.title | Some Convergence Theorems for Operator Sequences | en_US |
| dc.type | Article | en_US |