Ball remotal subspaces of Banach spaces

Tom 114 / 2009

Pradipta Bandyopadhyay, Bor-Luh Lin, T. S. S. R. K. Rao Colloquium Mathematicum 114 (2009), 119-133 MSC: Primary 46B20, 47L05; Secondary 46E40. DOI: 10.4064/cm114-1-10


We study Banach spaces $X$ with subspaces $Y$ whose unit ball is densely remotal in $X$. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set $E \subseteq X$, the set of Bochner integrable functions with values in $E$ is a remotal set in $L^1(\mu , X)$.


  • Pradipta BandyopadhyayStat–Math Division
    Indian Statistical Institute
    202, B. T. Road
    Kolkata 700108, India
  • Bor-Luh LinDepartment of Mathematics
    University of Iowa
    Iowa City IA 52242, U.S.A.
  • T. S. S. R. K. RaoStat–Math Unit
    Indian Statistical Institute
    R. V. College P.O.
    Bangalore 560059, India

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