Positive m-homogeneous polynomial ideals
Functional Analysis
2025-09-05 v1
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.
Keywords
Cite
@article{arxiv.2509.03960,
title = {Positive m-homogeneous polynomial ideals},
author = {Adel Bounabab and Khalil Saadi},
journal= {arXiv preprint arXiv:2509.03960},
year = {2025}
}
Comments
20 pages