Uniformly exhaustive submeasures and nearly additive set functions-Reference-Cited by-同舟云学术

Uniformly exhaustive submeasures and nearly additive set functions

Published:1983 Issue:2 Volume:278 Page:803-816
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kalton N. J.,Roberts James W.

Abstract

Every uniformly exhaustive submeasure is equivalent to a measure. From this, we deduce that every vector measure with compact range in an F F -space has a control measure. We also show that c 0 {c_0} (or any L ∞ {\mathcal {L}_\infty } -space) is a K \mathcal {K} -space, i.e. cannot be realized as the quotient of a nonlocally convex F F -space by a one-dimensional subspace.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1983-278-02/S0002-9947-1983-0701524-4/S0002-9947-1983-0701524-4.pdf

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