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arXiv · 2003.09449

2-Homogeneous Polynomials and Maximal Subspaces

Carlos A. S. Soares
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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.

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Carlos A. S. Soares. 2020-03-20. 2-Homogeneous Polynomials and Maximal Subspaces. https://arxiv.org/abs/2003.09449

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