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Radon Measures on ß N Associated with Simple Riesz-Means.

Axel Klodt (1982)

Mathematische Zeitschrift

Relaxation for a class of nonconvex functionals defined on measures

Guy Bouchitté, Giuseppe Buttazzo (1993)

Annales de l'I.H.P. Analyse non linéaire

Remarks on the complementability of spaces of Bochner integrable functions in spaces of vector measures

Giovanni Emmanuele (1996)

Commentationes Mathematicae Universitatis Carolinae

In the paper [5] L. Drewnowski and the author proved that if $X$ is a Banach space containing a copy of $c_{0}$ then $L_{1} (μ, X)$ is not complemented in $c a b v (μ, X)$ and conjectured that the same result is true if $X$ is any Banach space without the Radon-Nikodym property. Recently, F. Freniche and L. Rodriguez-Piazza ([7]) disproved this conjecture, by showing that if $μ$ is a finite measure and $X$ is a Banach lattice not containing copies of $c_{0}$ , then $L_{1} (μ, X)$ is complemented in $c a b v (μ, X)$ . Here, we show that the complementability of $L_{1} (μ, X)$ in $c a b v (μ, X)$ together...