Vol. 108, No. 1, 1983

Recent Issues
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
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