Positive m-homogeneous polynomial ideals

2025/09/04 by Bounabab, Adel, Saadi, Khalil · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2509.03960

Abstract

We introduce and study the concept of positive polynomial ideals between Banach lattices. The paper develops the basic principles of these classes and presents methods for constructing positive polynomial ideals from given positive operator ideals. In addition, we provide concrete examples of positive polynomial ideals that illustrate the relevance and significance of these classes.

Citations

• Positive ideals of multilinear operators

Cited by

• Tensorial representations of positive weakly (q,r)-dominated multilinear operators

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• Positive ideals of multilinear operators
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