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Domain of Euler-totient matrix operator in the space $\mathcal{L}_{p}$

Serkan Demiriz|Sezer Erdem
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.06|한국수학논문집 (Korean Journal of Mathematics)|제28권 제2호|pp. 361-378

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참고문헌

키워드

$Euler functionMobius functiondouble Euler-Totient matrixmatrix domaindouble sequence spacealpha$-beta(bp)$- and $gamma$-dualsmatrix transformations
주제분류수학

초록

The most apparent aspect of the present study is to introduce a new sequence space $\Phi^\star(\mathcal{L}_{p})$ derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the $\alpha-$, $\beta(bp)-$ and $\gamma-$duals of the space $\Phi^\star(\mathcal{L}_{p})$ are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.

Abstract

The most apparent aspect of the present study is to introduce a new sequence space $\Phi^\star(\mathcal{L}_{p})$ derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the $\alpha-$, $\beta(bp)-$ and $\gamma-$duals of the space $\Phi^\star(\mathcal{L}_{p})$ are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.

참고문헌 (33)

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