Vol. 29, No. 1, 1969

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A Radon-Nikodým theorem for vector and operator valued measures

Jorge Alvarez de Araya

Vol. 29 (1969), No. 1, 1–10
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
Authors
Jorge Alvarez de Araya