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arXiv · 1510.08576

2-Normed D-Modules and Hahn-Banach Theorem for D-linear 2-functionals

Kulbir Singh·Romesh Kumar
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Abstract

In this paper we introduce the notion of D-valued 2-norm on hy- perbolic or D-valued modules. Further, we define D-linear 2-functional on these modules and consider some of their properties. We also establish the Hahn- Banach type extension theorem for D-linear 2-functionals.

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Kulbir Singh, Romesh Kumar. 2015-10-29. 2-Normed D-Modules and Hahn-Banach Theorem for D-linear 2-functionals. https://arxiv.org/abs/1510.08576

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