$c_0$ has the $p-RN-I$ Property

TL;DR

This paper introduces a new property called p-RN-I and demonstrates that the space c_0 possesses this property, expanding understanding of functional analysis properties.

Contribution

The paper defines the p-RN-I property and proves that the classical space c_0 has this property, which is a novel contribution.

Findings

c_0 has the p-RN-I property

Introduction of the p-RN-I property

Expansion of functional analysis properties

Abstract

In this work, we introduce the property $p - RN - I$, $1 < p \le +\infty$ and we show that $c_0$ has this property.