English

Orlicz Spaces with Bicomplex Scalars

Functional Analysis 2017-01-04 v2

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 D\mathbb{D}-valued convex function. Further we have shown that the spectrum of the unilateral shift operator on l2(BC)l^2(\mathbb{BC}) is the null cone NC\mathcal{NC}.

Keywords

Cite

@article{arxiv.1401.7112,
  title  = {Orlicz Spaces with Bicomplex Scalars},
  author = {R. Kumar and K. Sharma and R. Tundup and S. Wazir},
  journal= {arXiv preprint arXiv:1401.7112},
  year   = {2017}
}
R2 v1 2026-06-22T02:56:06.768Z