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arXiv · 2509.03960

Positive m-homogeneous polynomial ideals

Adel Bounabab·Khalil Saadi
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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.

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Adel Bounabab, Khalil Saadi. 2025-09-04. Positive m-homogeneous polynomial ideals. https://arxiv.org/abs/2509.03960

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