Vol. 83, No. 2, 1979

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Pointwise compactness and measurability

Surjit Singh Khurana

Vol. 83 (1979), No. 2, 387–391
Abstract

Among other results it is proved that if (X,A) is a probability space, E a Hausdorff locally convex space such that (E(E,E)) contains an increasing sequence of absolutely convex compact sets with dense union, and f : X E weakly measurable with f(X) K, a weakly compact convex subset of E, then f is weakly equivalent to g : X E with g(X) contained in a separable subset of K.

Mathematical Subject Classification 2000
Primary: 46G10
Secondary: 28A20
Milestones
Received: 12 August 1978
Published: 1 August 1979
Authors
Surjit Singh Khurana