Get access

The Aron-Berner extension, Goldstine's theorem and P-continuity

Authors

  • Ricardo García,

    Corresponding author
    1. Department of Mathematics, University of Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain
    • Department of Mathematics, University of Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain, Phone: +34 92 4289621, Fax: +34 92 428 9601
    Search for more papers by this author
  • Jesús A. Jaramillo,

    Corresponding author
    1. Departamento de Análisis Matemático Facultad de Matemáticas, University of Complutense (Madrid), Plaza de Ciencias 3, 28040 Madrid, Spain
    • Departamento de Análisis Matemático Facultad de Matemáticas, University of Complutense (Madrid), Plaza de Ciencias 3, 28040 Madrid, Spain, Phone: +34 91 3944471, Fax: +34 91 394 4607
    Search for more papers by this author
  • José G. Llavona

    Corresponding author
    1. Departamento de Análisis Matemático Facultad de Matemáticas, University of Complutense (Madrid), Plaza de Ciencias 3, 28040 Madrid, Spain
    • Departamento de Análisis Matemático Facultad de Matemáticas, University of Complutense (Madrid), Plaza de Ciencias 3, 28040 Madrid, Spain, Phone: +34 91 394 4416, Fax: +34 91 394 4607
    Search for more papers by this author

Abstract

In this paper we show that the Aron-Berner type extension of polynomials preserves the P-continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Ancillary