Vol. 70, No. 1, 1977

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Factorization of Radonifying transformations

Robert Fernholz

Vol. 70 (1977), No. 1, 145–150
Abstract

It is shown that a linear transformation which carries a cylinder measure on a separable Hilbert space to a Radon measure on a separable Banach space can be factored into a positive-definite Hilbert-Schmidt transformation followed by a measurable linear transformation. Applications to measurable norms are given.

Mathematical Subject Classification 2000
Primary: 28A40, 28A40
Secondary: 46G10, 47B10
Milestones
Received: 23 November 1976
Published: 1 May 1977
Authors
Robert Fernholz