Generalized limits and sequence of matrices
| dc.authorwosid | Yurdakadim, Tugba / AAA-3945-2020 | |
| dc.contributor.author | Ozguc, I | |
| dc.contributor.author | Tas, E. | |
| dc.contributor.author | Yurdakadim, T. | |
| dc.date.accessioned | 2021-11-01T15:05:09Z | |
| dc.date.available | 2021-11-01T15:05:09Z | |
| dc.date.issued | 2020 | |
| dc.department | [Belirlenecek] | |
| dc.description.abstract | Banach has proved that there exist positive linear regular functionals on m such that they are invariant under shift operator where m is the space of all bounded real sequences. It has also been shown that there exists positive linear regular functionals L on m such that L(chi(K))=0 for every characteristic sequence chi(K) of sets, K, of natural density zero. Recently the comparison of such functionals and some applications have been examined. In this paper we define S-B-limits and B-Banach limits where B is a sequence of infinite matrices. It is clear that if B=(A) then these definitions reduce to S-A-limits and A-Banach limits. We also show that the sets of all S-B-limits and Banach limits are distinct but their intersection is not empty. Furthermore, we obtain that the generalized limits generated by B where B is strongly regular is equal to the set of Banach limits. | |
| dc.identifier.doi | 10.1007/s11117-019-00696-y | |
| dc.identifier.endpage | 563 | en_US |
| dc.identifier.issn | 1385-1292 | |
| dc.identifier.issn | 1572-9281 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85069476897 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 553 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s11117-019-00696-y | |
| dc.identifier.uri | https://hdl.handle.net/11491/7146 | |
| dc.identifier.volume | 24 | en_US |
| dc.identifier.wos | WOS:000539097500004 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | [Belirlenecek] | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Positivity | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | The Hahn-Banach extension theorem | en_US |
| dc.subject | Banach limit | en_US |
| dc.subject | B-statistical limit superior and inferior | en_US |
| dc.subject | Sequence of infinite matrices | en_US |
| dc.title | Generalized limits and sequence of matrices | |
| dc.type | Article |
