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arXiv · 0903.2374

Zero subspaces of polynomials on l1(Gamma)

Antonio Avilés·Stevo Todorcevic
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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.

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Antonio Avilés, Stevo Todorcevic. 2009-03-13. Zero subspaces of polynomials on l1(Gamma). https://arxiv.org/abs/0903.2374

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