Zero subspaces of polynomials on l1(Gamma)
Functional Analysis
2009-03-16 v1 Logic
Abstract
We provide two examples of complex homogeneous quadratic polynomials P on Banach spaces of the form l_1(I). The first polynomial P has both separable and nonseparable maximal zero subspaces. The second polynomial P has the property that while the index-set I is not countable, all zero subspaces of P are separable.
Cite
@article{arxiv.0903.2374,
title = {Zero subspaces of polynomials on l1(Gamma)},
author = {Antonio Avilés and Stevo Todorcevic},
journal= {arXiv preprint arXiv:0903.2374},
year = {2009}
}
Comments
Published in special issue dedicated to Isaac Namioka