Absolute Lucas Spaces with Matrix and Compact Operators
نویسندگان
چکیده
The main purpose of this study is to introduce the absolute Lucas series spaces and investigate their some algebraic topological structure such as inclusion relations, $BK-$ space, duals Schauder basis. Also, characterizations matrix operators related these space with norms are given. Finally, by using Hausdorff measure noncompactness, necessary sufficient conditions for a operator on them be compact obtained.
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ژورنال
عنوان ژورنال: Mathematical sciences and applications e-notes
سال: 2022
ISSN: ['2147-6268']
DOI: https://doi.org/10.36753/mathenot.816576