On the operator equation A X − X B = C with unbounded operators A, B, and C

Nguyen Thanh Lan

Abstract and Applied Analysis, 2001, vol. 6, 1-12

Abstract:

We find the criteria for the solvability of the operator equation A X − X B = C , where A , B , and C are unbounded operators, and use the result to show existence and regularity of solutions of nonhomogeneous Cauchy problems.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:358637

DOI: 10.1155/S1085337501000665

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