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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A multilinear Phelps’ Lemma
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by Richard Aron, Antonia Cardwell, Domingo García and Ignacio Zalduendo PDF
Proc. Amer. Math. Soc. 135 (2007), 2549-2554 Request permission


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.
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Additional Information
  • Richard Aron
  • Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
  • MR Author ID: 27325
  • Email:
  • Antonia Cardwell
  • Affiliation: Mathematics Department, Millersville University, P.O. Box 1002, Millersville, Pennsylvania 17551-0302
  • Email:
  • Domingo García
  • Affiliation: Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjassot, Valencia, Spain
  • Email:
  • Ignacio Zalduendo
  • Affiliation: Depto. de Matemática, Universidad Torcuato Di Tella, Miñones 2159/77 (C1428ATG), Buenos Aires, Argentina
  • MR Author ID: 186385
  • Email:
  • Received by editor(s): February 9, 2006
  • Received by editor(s) in revised form: April 11, 2006
  • Published electronically: February 6, 2007
  • Additional Notes: The first and third authors were partially supported by MEC and FEDER Project MTM2005-08210.
    The fourth author was supported by a Fulbright Commission grant
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2549-2554
  • MSC (2000): Primary 46B20; Secondary 47A07
  • DOI:
  • MathSciNet review: 2302575