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Rank of positive
matrix measures
Roderic Murufas |
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Vol. 108 (1983), No. 1, 177–190
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Abstract |
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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
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Milestones
Received: 28 January 1982
Revised: 7 June 1982
Published: 1 September 1983
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Authors |
| Roderic Murufas | |
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