Geodesic
Ball remotal subspaces of Banach spaces
Pradipta Bandyopadhyay1 ; Bor-Luh Lin2 ; T. S. S. R. K. Rao3
1 Stat–Math Division Indian Statistical Institute 202, B. T. Road Kolkata 700108, India
2 Department of Mathematics University of Iowa Iowa City IA 52242, U.S.A.
3 Stat–Math Unit Indian Statistical Institute R. V. College P.O. Bangalore 560059, India
Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 119-133.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $L^1(\mu , X)$.
DOI : 10.4064/cm114-1-10
Keywords: study banach spaces subspaces whose unit ball densely remotal several classes banach spaces unit ball space compact operators densely remotal space bounded operators several classical banach spaces unit ball densely remotal duals higher even order separable remotal set subseteq set bochner integrable functions values remotal set

Pradipta Bandyopadhyay 1 ; Bor-Luh Lin 2 ; T. S. S. R. K. Rao 3

1 Stat–Math Division Indian Statistical Institute 202, B. T. Road Kolkata 700108, India
2 Department of Mathematics University of Iowa Iowa City IA 52242, U.S.A.
3 Stat–Math Unit Indian Statistical Institute R. V. College P.O. Bangalore 560059, India 
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Pradipta Bandyopadhyay; Bor-Luh Lin; T. S. S. R. K. Rao. Ball remotal subspaces of Banach spaces. Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 119-133. doi : 10.4064/cm114-1-10. http://geodesic.mathdoc.fr/articles/10.4064/cm114-1-10/

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