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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the operator equation $ TX-XV=A$


Author: Constantin Apostol
Journal: Proc. Amer. Math. Soc. 59 (1976), 115-118
MSC: Primary 47A60; Secondary 47B47
MathSciNet review: 0412856
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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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DOI: https://doi.org/10.1090/S0002-9939-1976-0412856-3
Keywords: Operator equation, shift
Article copyright: © Copyright 1976 American Mathematical Society