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].
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | , , , |
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512000888537088 |
|---|---|
| author | Berezovsky, N. I. Linchuk, S. S. Березовский, Н. И. Линчук, С. С. Березовский, Н. И. Линчук, С. С. |
| author_facet | Berezovsky, N. I. Linchuk, S. S. Березовский, Н. И. Линчук, С. С. Березовский, Н. И. Линчук, С. С. |
| author_sort | Berezovsky, N. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:17:59Z |
| description | 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]. |
| first_indexed | 2026-03-24T03:21:50Z |
| format | Article |
| fulltext |
0019
0020
0021
0022
0023
|
| id | umjimathkievua-article-5777 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:50Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/eb/36dc14f96eb203b566f9eed1a08f0beb.pdf |
| spelling | umjimathkievua-article-57772020-03-19T09:17:59Z On the commutant of a multiplication operator and conditions of invertibility of its elements О коммутанте оператора умножения и условиях обращения его элементов Berezovsky, N. I. Linchuk, S. S. Березовский, Н. И. Линчук, С. С. Березовский, Н. И. Линчук, С. С. 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]. Одержано опис ізоморфізмів, що діють у просторі сумовних з квадратом функцій та комутують з множенням на неперервну кусково-монотонну функцію, з попередніми виправленнями деяких помилкових тверджень роботи [3]. Institute of Mathematics, NAS of Ukraine 1993-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5777 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 1 (1993); 21–25 Український математичний журнал; Том 45 № 1 (1993); 21–25 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5777/8238 https://umj.imath.kiev.ua/index.php/umj/article/view/5777/8239 Copyright (c) 1993 Berezovsky N. I.; Linchuk S. S. |
| spellingShingle | Berezovsky, N. I. Linchuk, S. S. Березовский, Н. И. Линчук, С. С. Березовский, Н. И. Линчук, С. С. On the commutant of a multiplication operator and conditions of invertibility of its elements |
| title | On the commutant of a multiplication operator and conditions of invertibility of its elements |
| title_alt | О коммутанте оператора умножения и условиях обращения его элементов |
| title_full | On the commutant of a multiplication operator and conditions of invertibility of its elements |
| title_fullStr | On the commutant of a multiplication operator and conditions of invertibility of its elements |
| title_full_unstemmed | On the commutant of a multiplication operator and conditions of invertibility of its elements |
| title_short | On the commutant of a multiplication operator and conditions of invertibility of its elements |
| title_sort | on the commutant of a multiplication operator and conditions of invertibility of its elements |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5777 |
| work_keys_str_mv | AT berezovskyni onthecommutantofamultiplicationoperatorandconditionsofinvertibilityofitselements AT linchukss onthecommutantofamultiplicationoperatorandconditionsofinvertibilityofitselements AT berezovskijni onthecommutantofamultiplicationoperatorandconditionsofinvertibilityofitselements AT linčukss onthecommutantofamultiplicationoperatorandconditionsofinvertibilityofitselements AT berezovskijni onthecommutantofamultiplicationoperatorandconditionsofinvertibilityofitselements AT linčukss onthecommutantofamultiplicationoperatorandconditionsofinvertibilityofitselements AT berezovskyni okommutanteoperatoraumnoženiâiusloviâhobraŝeniâegoélementov AT linchukss okommutanteoperatoraumnoženiâiusloviâhobraŝeniâegoélementov AT berezovskijni okommutanteoperatoraumnoženiâiusloviâhobraŝeniâegoélementov AT linčukss okommutanteoperatoraumnoženiâiusloviâhobraŝeniâegoélementov AT berezovskijni okommutanteoperatoraumnoženiâiusloviâhobraŝeniâegoélementov AT linčukss okommutanteoperatoraumnoženiâiusloviâhobraŝeniâegoélementov |