2017
Том 69
№ 7

All Issues

On some imbedding relations between certain sequence spaces

Mursaleen M., Noman A. K.

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Abstract

In the present paper, we introduce the sequence space $l^{\lambda}_p$ of non-absolute type which is a $p$-normed space and a $BK$-space in the cases of $0 < p < 1$ and $0 < p < 1$ i $1 \leq p < \infty$, respectively. Further, we derive some imbedding relations and construct the basis for the space $l^{\lambda}_p$, where $1 \leq p < \infty$.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 4, pp 564-579.

Citation Example: Mursaleen M., Noman A. K. On some imbedding relations between certain sequence spaces // Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 489-501.

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