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Dergiler / Mathematical Sciences and Applications E-Notes / 2022 / Cilt: 10 - Sayı: 1

Absolute Lucas Spaces with Matrix and Compact Operators

Fadime GÖKÇE
Sayfa
27–44
Yayın Tarihi
2022-03-01
DOI
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Finally, by using Hausdorff measure of noncompactness, the necessary and sufficient conditions for a matrix operator on them to be compact are obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri:Also, the characterizations of matrix operators related to these space with their norms are given.
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Sonuç & Katkı:Finally, by using Hausdorff measure of noncompactness, the necessary and sufficient conditions for a matrix operator on them to be compact are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Absolute summability · Lucas numbers · matrix transformations

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.

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Bu Makaleye Atıf Yap

GÖKÇE, F. (2022). Absolute Lucas Spaces with Matrix and Compact Operators. Mathematical Sciences and Applications E-Notes, Cilt: 10 - Sayı: 1, 27–44. https://ajindex.com/articles/690665

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Kaynakça (17)

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