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 < ∞ and does not contain any isomorphic copy of l₂.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-3-1,
author = {Anna Novikova},
title = {Lyapunov theorem for q-concave Banach spaces},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {195-198},
zbl = {1319.46032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-3-1}
}
Anna Novikova. Lyapunov theorem for q-concave Banach spaces. Studia Mathematica, Tome 223 (2014) pp. 195-198. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-3-1/