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arxiv: 0903.2374 · v1 · submitted 2009-03-13 · 🧮 math.FA · math.LO

Zero subspaces of polynomials on l1(Gamma)

classification 🧮 math.FA math.LO
keywords subspaceszeropolynomialpolynomialsseparablebanachcomplexcountable
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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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