Lyapunov theorem for $q$-concave Banach spaces
Tom 224 / 2014
Studia Mathematica 224 (2014), 195-198
MSC: Primary 46E30.
DOI: 10.4064/sm224-3-1
Streszczenie
A generalization of the Lyapunov convexity theorem is proved for a vector measure with values in a Banach space with unconditional basis, which is $q$-concave for some $q<\infty $ and does not contain any isomorphic copy of $l_2.$