Vol. 108, No. 1, 1983

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ISSN: 0030-8730
Rank of positive matrix measures

Roderic Murufas

Vol. 108 (1983), No. 1, 177–190
Abstract

Let L be a selfadjoint operator in a separable Hilbert space. Here we define a concept of rank for positive matrix measures from which the spectral multiplicity of a point in the spectrum of L may be determined. In the process, a diagonalization procedure for positive matrix measures is constructed, connecting the concept of a spectral matrix to the abstract measures of a spectral representation.

Mathematical Subject Classification 2000
Primary: 47B15
Secondary: 28B05
Milestones
Received: 28 January 1982
Revised: 7 June 1982
Published: 1 September 1983
Authors
Roderic Murufas