Vol. 102, No. 2, 1982

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The operator equation AX XB = C with normal A and B

Allen Ross Schweinsberg

Vol. 102 (1982), No. 2, 447–453
Abstract

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
Milestones
Received: 28 August 1979
Published: 1 October 1982
Authors
Allen Ross Schweinsberg