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The operator equation
AX − XB
= C
with normal A and B
Allen Ross Schweinsberg |
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Vol. 102 (1982), No. 2, 447–453
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Abstract |
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A necessary and sufficient condition for the solvability of AX − XB = C was given by W. E. Roth for finite matrices and by M. Rosenblum for selfadjoint operators A and B on a Hilbert space. Here the result is extended to include normal operators and finite rank operators on Hilbert space. |
Mathematical Subject Classification 2000
Primary: 47A62
Secondary: 47B47
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Milestones
Received: 28 August 1979
Published: 1 October 1982
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Authors |
| Allen Ross Schweinsberg | |
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