A Radon-Nikodým theorem for vector and operator valued measures

Jorge Alvarez de Araya

Vol. 29 (1969), No. 1, 1–10

DOI: 10.2140/pjm.1969.29.1

Abstract

The main result of this paper is a Radon-Nikodým theorem for measures taking values in a separable Hilbert space and on the bounded operators of such a space. The integral used for the representation is a Gelfand-Pettis integral, which in this case is also equivalent to the Bochner integral.

Mathematical Subject Classification

Primary: 28.50

Milestones

Received: 20 April 1967

Published: 1 April 1969