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 [3].

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Bibliographic Details
Date:1993
Main Authors: Berezovsky, N. I., Linchuk, S. S., Березовский, Н. И., Линчук, С. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5777
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal