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Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property

Volume 104 / 1993

Lech Drewnowski Studia Mathematica 104 (1993), 125-132 DOI: 10.4064/sm-104-2-125-132

Abstract

It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.

Authors

  • Lech Drewnowski

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