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https://hdl.handle.net/11499/10781
Title: | On Absolute Nörlund Spaces and Matrix Operators | Authors: | Hazar, Güllü Canan Sarıgöl, Mehmet Ali |
Keywords: | absolute Nörlund summability BK spaces bounded linear operator dual spaces matrix transformations Sequence spaces |
Publisher: | Springer Verlag | Abstract: | In a more recent paper, the second author has introduced a space |C?|k as the set of all series by absolute summable using Cesàro matrix of order ? > -1. In the present paper we extend it to the absolute Nörlund space |Np ?|k taking Nörlund matrix in place of Cesàro matrix, and also examine some topological structures, ?-ß-?-duals and the Schauder base of this space. Further we characterize certain matrix operators on that space and determine their operator norms, and so extend some well-known results. © 2017, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature. | URI: | https://hdl.handle.net/11499/10781 https://doi.org/10.1007/s10114-017-7190-3 |
ISSN: | 1439-8516 |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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