A+ CATEGORY SCIENTIFIC UNIT

Coefficient of orthogonal convexity of some Banach function spaces

Volume 164 / 2004

Paweł Kolwicz, Stefan Rolewicz Studia Mathematica 164 (2004), 121-138 MSC: 46E30, 46E40, 46B20. DOI: 10.4064/sm164-2-2

Abstract

We study orthogonal uniform convexity, a geometric property connected with property $(\beta ) $ of Rolewicz, $P$-convexity of Kottman, and the fixed point property (see [19, [20]). We consider the coefficient of orthogonal convexity in Köthe spaces and Köthe–Bochner spaces.

Authors

  • Paweł KolwiczInstitute of Mathematics
    University of Technology
    Piotrowo 3a
    60-965 Poznań, Poland
    e-mail
  • Stefan RolewiczInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    P.O. Box 21
    00-956 Warszawa, Poland
    e-mail

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