English

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

Functional Analysis 2015-10-30 v1

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.

Cite

@article{arxiv.1510.08576,
  title  = {2-Normed D-Modules and Hahn-Banach Theorem for D-linear 2-functionals},
  author = {Kulbir Singh and Romesh Kumar},
  journal= {arXiv preprint arXiv:1510.08576},
  year   = {2015}
}
R2 v1 2026-06-22T11:31:46.814Z