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Matrix transformations and compact operators on the binomial sequence spaces

Mustafa Cemil Bisgin
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.12|한국수학논문집 (Korean Journal of Mathematics)|제27권 제4호|pp. 949-968

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참고문헌

키워드

Matrix TransformationsMatrix DomainCompact OperatorsHausdorff Measure Of NoncompactnessMatrix Classes
주제분류수학

초록

In this work, we characterize some matrix classes concerning the Binomial sequence spaces $b_{\infty}^{r,s}$ and $b_{p}^{r,s}$, where $1\leq p<\infty$. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from $b_{0}^{r,s}$, $b_{c}^{r,s}$ and $b_{\infty}^{r,s}$ into $c_{0}$, $c$ and $\ell_{\infty}$, respectively.

Abstract

In this work, we characterize some matrix classes concerning the Binomial sequence spaces $b_{\infty}^{r,s}$ and $b_{p}^{r,s}$, where $1\leq p<\infty$. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from $b_{0}^{r,s}$, $b_{c}^{r,s}$ and $b_{\infty}^{r,s}$ into $c_{0}$, $c$ and $\ell_{\infty}$, respectively.

참고문헌 (26)

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