Domain of Jordan Totient Type Matrix Operator in the Spaces of Convergent and Null Sequences

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Tarih

2025

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Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Motivated by Φ-summability, novel matrix operators are produced with the aid of fascinating arithmetical functions. One of them is the Riesz Jordan totient matrix operator, introduced very recently. The primary purpose of this study is to use this matrix to obtain new spaces as the matrix domain of it in some classical sequence spaces. After presenting basic topological properties and identifying dual spaces, the characterization of certain matrix transformations is studied, defined on the resulting spaces. In the final section, the compactness of the operators on the domain of Jordan totient type matrices in the space of null sequences is researched.

Açıklama

Anahtar Kelimeler

Matematik

Kaynak

Journal of advanced research in natural and applied sciences (Online)

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Cilt

11

Sayı

4

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