Zero subspaces of polynomials on l1(Gamma)

Details Zero subspaces of polynomials on l1(Gamma) Zero subspaces of polynomials on l1(Gamma)

2009-03-13

arxiv.org/abs/0903.2374v1

J. Math. Anal. Appl. 350, No. 2, 427-435 (2009)

Mathematics

Functional Analysis

Published in special issue dedicated to Isaac Namioka

Scientific paper

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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