On the operator equation $AX - XB = C$ with unbounded operators $A,B$, and $C$
Lan, Nguyen Thanh
Abstr. Appl. Anal., Tome 6 (2001) no. 1, p. 317-328 / Harvested from Project Euclid
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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.
Publié le : 2001-05-14
Classification:  34G10,  34K06,  47D06 
@article{1050266893,
     author = {Lan, Nguyen Thanh},
     title = {On the operator equation $AX - XB = C$
with unbounded operators $A,B$, and $C$},
     journal = {Abstr. Appl. Anal.},
     volume = {6},
     number = {1},
     year = {2001},
     pages = { 317-328},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050266893}
}

Lan, Nguyen Thanh. On the operator equation $AX - XB = C$
with unbounded operators $A,B$, and $C$. Abstr. Appl. Anal., Tome 6 (2001) no. 1, pp.  317-328. http://gdmltest.u-ga.fr/item/1050266893/