A New Perspective on Discrete Orlicz Spaces with its Natural 2-Norm
Discrete Orlicz Space and its Natural $2$-Norm
Abstract
In this note, we introduce the discrete Orlicz space that is equipped with a $2$-norm which can be viewed as a generalization of its usual norm. Using a norm that is obtained from the $2$-norm, we show that the discrete Orlicz space is complete with respect to $2$-norm. Use this fact to prove the fixed point theorem for the discrete Orlicz space that is equipped with a $2$-norm.
Downloads
Download data is not yet available.
Published
2025-09-18
Issue
Section
Research Articles
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
