Abstract and Applied Analysis
Volume 6 (2001), Issue 6, Pages 317-328

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

Nguyen Thanh Lan

Department of Mathematics, Ohio University, Athens 45701, OH, USA

Received 30 July 2001

Copyright © 2001 Nguyen Thanh Lan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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