ON THE EQUATION h x-xk =c IN BANACH ALGEBRA A , WITH HERMITIAN COEFFICIENTS h , k , volume=36, url=https://journals.ysu.am/index.php/proceedings-phys-math/article/view/vol36_no1_2002_pp003-008, DOI=10.46991/PYSUA.2002.36.1.003, abstractNote= This work investigates the problem of solvability on the equation h x-xk =c with Hermitian coefficients h , k of weak complete Banach algebra A . In the article (theorem 1) the criterion of solvability of equation h x-xk =c is proved which implies (theorem 2) the following algebraic criterion of solvability. For solvability in A the equation h x-xk =c the similarity of matrixes ( matrix h , & 0 0, & k matrix ) and (matrix h , & c 0, & k matrix ) is necessary and sufficient. , number=1 (197), journal=Proceedings of the YSU A: Physical and Mathematical Sciences, author=Kharakhanian, I. M., year=2002, month=Mar., pages=3–8