Topological Bicomplex Modules

2015/07/21 by Romesh Kumar, Kumar, Romesh, Heera Saini +1 · 1 citation
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1507.05816

arxiv created 2015/07/21 · arxiv updated 2015/07/22

Abstract

In this paper, we develop topological modules over the ring of bicomplex numbers. We discuss bicomplex convexivity, hyperbolic-valued seminorms and hyperbolic-valued Minkowski functionals in bicomplex modules. We also study the conditions under which topological bicomplex modules and locally bicomplex convex modules become hyperbolic normable and hyperbolic metrizable respectively.

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