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A multilinear Phelps' Lemma
Authors:Richard Aron  Antonia Cardwell  Domingo Garcí  a  Ignacio Zalduendo
Institution:Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242 ; Mathematics Department, Millersville University, P.O. Box 1002, Millersville, Pennsylvania 17551-0302 ; Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjassot, Valencia, Spain ; Depto. de Matemática, Universidad Torcuato Di Tella, Miñones 2159/77 (C1428ATG), Buenos Aires, Argentina
Abstract:We prove a multilinear version of Phelps' Lemma: if the zero sets of multilinear forms of norm one are `close', then so are the multilinear forms.

Keywords:Phelps' Lemma  multilinear forms
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