Geodesic
Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property
Studia Mathematica, Tome 104 (1993) no. 2, pp. 125-132

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

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.
DOI : 10.4064/sm-104-2-125-132
Keywords: Banach space, spaces of vector measures, Bochner integrable functions, Radon-Nikodym property, nonseparable quotient space

Lech Drewnowski 1

1 
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Lech Drewnowski. Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property. Studia Mathematica, Tome 104 (1993) no. 2, pp. 125-132. doi: 10.4064/sm-104-2-125-132

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