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https://hdl.handle.net/11499/56102
Title: | Absolute Lucas Spaces with Matrix and Compact Operators | Authors: | Gökçe, Fadime | Abstract: | The main purpose of this study is to introduce the absolute Lucas series spaces and to investigate their some algebraic and topological structure such as some inclusion relations, $BK-$ to this space, duals and Schauder basis. Also, the characterizations of matrix operators related to these space with their norms are given. Finally, by using Hausdorff measure of noncompactness, the necessary and sufficient conditions for a matrix operator on them to be compact are obtained. | URI: | http://dx.doi.org/10.36753/mathenot.816576 https://search.trdizin.gov.tr/yayin/detay/1186891 https://hdl.handle.net/11499/56102 |
ISSN: | 2147-6268 |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection |
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document - 2024-03-11T141208.883.pdf | 383.68 kB | Adobe PDF | View/Open |
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