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On the Operator Equation $TX - XV = A$

Constantin Apostol
Proceedings of the American Mathematical Society
Vol. 59, No. 1 (Aug., 1976), pp. 115-118
DOI: 10.2307/2042046
Stable URL: http://www.jstor.org/stable/2042046
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Operator Equation $TX - XV = A$
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Abstract

A characterization of the operators $A$ for which the equation $TX - XV = A$ is solvable is given, where $T$ is a fixed right invertible operator and $V$ is a fixed unilateral shift.

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