A remark on the paper "A Unified Pietsch Domination Theorem"

TL;DR

This paper revisits the Unified Pietsch Domination theorem, demonstrating that it holds even without two key assumptions previously considered essential, thus broadening its applicability.

Contribution

It shows that the theorem remains valid under weaker conditions, removing the need for two apparently crucial hypotheses.

Findings

The theorem holds without two key hypotheses.

Broader applicability of the Pietsch Domination theorem.

Simplification of the theorem's assumptions.

Abstract

In this short communication we show that the Unified Pietsch Domination proved by Botelho et al in a recent paper remains true even if we remove two of its apparently crucial hypothesis.