A+ CATEGORY SCIENTIFIC UNIT

Lyapunov theorem for $q$-concave Banach spaces

Volume 224 / 2014

Anna Novikova Studia Mathematica 224 (2014), 195-198 MSC: Primary 46E30. DOI: 10.4064/sm224-3-1

Abstract

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 $l_2.$

Authors

  • Anna NovikovaFaculty of Mathematics and Computer Science
    The Weizmann Institute of Science
    POB 26, Rehovot 76100, Israel
    e-mail

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