Hahn-Banach theorem for operators on the lattice normed $f$-algebras

Abdullah Aydın

Hahn-Banach theorem for operators on the lattice normed $f$-algebras

Functional Analysis 2020-01-22 v2

Authors: Abdullah Aydın

Abstract

Let $X$ and $E$ be $f$ -algebras and $p:X \to E_+$ be a monotone vector norm. Then the triple $(X,p,E)$ is called a lattice-normed $f$ -algebraic space. In this paper, we show a generalization of the extension of the Hahn-Banach theorem for operators on the lattice-normed $f$ -algebras, in which the extension of one step of that is not similar to the other Hahn-Banach theorems. Also, we give some applications and results.

Keywords

hahn-banach theorem f-algebra lattice-normed space monotone vector norm operator extension

Cite

@article{arxiv.2001.04714,
  title  = {Hahn-Banach theorem for operators on the lattice normed $f$-algebras},
  author = {Abdullah Aydın},
  journal= {arXiv preprint arXiv:2001.04714},
  year   = {2020}
}

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