On the commutant of a multiplication operator and conditions of invertibility of its elements
We obtain a description of isomorphisms acting in the space of square summable functions and commuting with the operator of multiplication by a continuous piecewise monotone function. Preliminary corrections are made of some mistakes found in the statements of the paper .
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 1, pp 21-25.
Citation Example: Berezovsky N. I., Linchuk S. S. On the commutant of a multiplication operator and conditions of invertibility of its elements // Ukr. Mat. Zh. - 1993. - 45, № 1. - pp. 21–25.