Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes
Functional Analysis
2021-10-04 v1
Abstract
In the nonlinear field of multilinear operators and homogeneous polynomials between Banach spaces, we develop a technique, based on the transformation of vector-valued sequences, to create new examples of hyper-ideals of multilinear operators, polynomial hyper-ideals and polynomial two-sided ideals. Several well studied ideals are shown to be actually hyper-ideals or two-sided ideals.
Cite
@article{arxiv.2110.00051,
title = {Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes},
author = {Geraldo Botelho and Raquel Wood},
journal= {arXiv preprint arXiv:2110.00051},
year = {2021}
}
Comments
15 pages