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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Datum:1993
Hauptverfasser: Berezovsky, N. I., Linchuk, S. S., Березовский, Н. И., Линчук, С. С.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5777
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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].