2-Homogeneous Polynomials and Maximal Subspaces
Functional Analysis
2020-03-24 v1
Abstract
In this paper we study the maximal subspaces of continuous n-homogeneous polynomials on complex and real non separable Banach spaces. In the real case we will prove that if P is a 2-homogeneous polynomial and if there exist a k-dimensional P-maximal subspace then every P-maximal subspace is k-dimensional.
Keywords
Cite
@article{arxiv.2003.09449,
title = {2-Homogeneous Polynomials and Maximal Subspaces},
author = {Carlos A. S. Soares},
journal= {arXiv preprint arXiv:2003.09449},
year = {2020}
}
Comments
12 pages