On the operator equation AX−XB=C
with unbounded operators A,B, and C
Nguyen Thanh Lan1
Received30 Jul 2001
Abstract
We find the criteria for the solvability of the operator equation
AX−XB=C, where A,B, and C are unbounded operators, and use the result to show existence and regularity of solutions of nonhomogeneous Cauchy problems.