Generalization of the Absolute Cesàro Space and Some Matrix Transformations
| العنوان: | Generalization of the Absolute Cesàro Space and Some Matrix Transformations |
|---|---|
| المؤلفون: | Gökçe, F., Sarıgöl, M.A. |
| بيانات النشر: | Taylor and Francis Inc., 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Positive numbers, Bounded operators, Cesàro matrix, Functional analysis, Schauder basis, Linear transformations, sequence spaces, matrix transformations, Sequence space, Matrix transformation, Absolute summability, Mathematical techniques |
| الوصف: | The space l k was extended to the space l p by Maddox, where p=(p n ) is a bounded sequence of positive numbers. The series space |C λ,µ |k has more recently been studied by Hazar and Sarıgöl. In this article, following Maddox we derived a more general series space |C λ,µ |(p) and show that it is a paranormed space and linearly isomorphic to the space l(p) Also, we construct its α-, β-, γ-duals and Schauder basis. Further, we characterize the classes of certain matrix transformations on that space and obtain some well-known results as a particular case. © 2019, © 2019 Taylor & Francis Group, LLC. |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b8a394f447dc4fa1ed502169065225f2 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.dedup.wf.001..b8a394f447dc4fa1ed502169065225f2 |
| قاعدة البيانات: | OpenAIRE |
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