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arXiv · 1401.7112

Orlicz Spaces with Bicomplex Scalars

R. Kumar·K. Sharma·R. Tundup·S. Wazir
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Abstract

In this paper we define bicomplex Orlicz space with hyperbolic valued Luxemburg norm and discussed some of their properties. We have also partially characterize an integral representation of a $\mathbb{D}$-valued convex function. Further we have shown that the spectrum of the unilateral shift operator on $l^2(\mathbb{BC})$ is the null cone $\mathcal{NC}$.

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BibTeXRIS

R. Kumar, K. Sharma, R. Tundup, S. Wazir. 2014-01-28. Orlicz Spaces with Bicomplex Scalars. https://arxiv.org/abs/1401.7112

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