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].
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 21–25, January, 1993.
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Berezovskii, N.I., Linchuk, S.S. On the commutant of a multiplication operator and conditions of invertibility of its elements. Ukr Math J 45, 21–25 (1993). https://doi.org/10.1007/BF01062033
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DOI: https://doi.org/10.1007/BF01062033