2019
Том 71
№ 11

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On the commutant of a multiplication operator and conditions of invertibility of its elements

Berezovsky N. I., Linchuk S. S.

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Abstract

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 [3].

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.

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