Positive m-homogeneous polynomial ideals

Fuente: arXiv
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Main Authors: Bounabab, Adel, Saadi, Khalil
Format: Preprint
Published: 2025
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author Bounabab, Adel
Saadi, Khalil
author_facet Bounabab, Adel
Saadi, Khalil
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03960
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Positive m-homogeneous polynomial ideals
Bounabab, Adel
Saadi, Khalil
Functional Analysis
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.
title Positive m-homogeneous polynomial ideals
topic Functional Analysis
url https://arxiv.org/abs/2509.03960