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The Quarterly Journal of Mathematics Advance Access published online on April 29, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap010
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© 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

UNIQUENESS OF THE EXTENSION OF 2-HOMOGENEOUS POLYNOMIALS

P. Galindo {dagger}

Departamento de Análisis Matemático, Universidad de Valencia, 46.100, Burjasot, Valencia, Spain

M. L. Lourenço{ddagger}

Departamento de Matemática, Universidade de São Paulo, CP 66281-CEP 0535-970 São Paulo, Brazil

{ddagger} Corresponding author. E-mail: mllouren{at}ime.usp.br

Received 14 November 2008;
  Abstract

Homogeneous polynomials of degree 2 on the complex Banach space Formula are shown to have unique norm-preserving extension to the bidual space. This is done by using M-projections and extends the analogous result for c0 proved by P.-K. Lin.

{dagger} E-mail: galindo{at}uv.es


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