This is an announcement for the paper "Zero subspaces of polynomials on l1(Gamma)" by Antonio Aviles and Stevo Todorcevic.
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.
Archive classification: math.FA math.LO
Mathematics Subject Classification: 46B26, 47H60
Citation: J. Math. Anal. Appl. 350, No. 2, 427-435 (2009)
Remarks: Published in special issue dedicated to Isaac Namioka
The source file(s), polynomials3.tex: 39718 bytes, is(are) stored in gzipped form as 0903.2374.gz with size 13kb. The corresponding postcript file has gzipped size 89kb.
Submitted from: avileslo@um.es
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