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arXiv · 1604.07396

Some new Fibonacci difference spaces of non-absolute type and compact operators

Anupam Das·Bipan Hazarika
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Abstract

The aim of the paper is to introduced the spaces $c_{0}^{\lambda}(\hat{F})$ and $c^{\lambda}(\hat{F})$ which are the BK-spaces of non-absolute type and also derive some inclusion relations. Further, we determine the $\alpha-,\beta-,\gamma-$duals of those spaces and also construct their bases. We also characterize some matrix classes on the spaces $c_{0}^{\lambda}(\hat{F})$ and $c^{\lambda}(\hat{F}).$ Here we characterize the subclasses $\mathcal{K}(X,Y)$ of compact operators where $X$ is $c_{0}^{\lambda}(\hat{F})$ or $c^{\lambda}(\hat{F})$ and $Y$ is one of the spaces $c_{0},c, l_{\infty}, l_{1}, bv$ by applying Hausdorff measure of noncompactness.

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Anupam Das, Bipan Hazarika. 2016-04-25. Some new Fibonacci difference spaces of non-absolute type and compact operators. https://arxiv.org/abs/1604.07396

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