Commuting extensions of operators

The maximal commuting proper extensions of a closed Hermitian operator and a dual pair of continuous operators in a Hilbert space are described; the criteria of their existence are established.

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Bibliographic Details
Date:1993
Main Authors: Arlinsky, Yu. M., Mogilevskii, V. I., Арлинський, Ю. М., Могилевский, В. И.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5863
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Arlinsky, Yu. M.
Mogilevskii, V. I.
Арлинський, Ю. М.
Могилевский, В. И.
author_facet Arlinsky, Yu. M.
Mogilevskii, V. I.
Арлинський, Ю. М.
Могилевский, В. И.
author_sort Arlinsky, Yu. M.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-19T09:19:41Z
description The maximal commuting proper extensions of a closed Hermitian operator and a dual pair of continuous operators in a Hilbert space are described; the criteria of their existence are established.
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English
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spelling umjimathkievua-article-58632020-03-19T09:19:41Z Commuting extensions of operators Коммутирующие расширения операторов Arlinsky, Yu. M. Mogilevskii, V. I. Арлинський, Ю. М. Могилевский, В. И. The maximal commuting proper extensions of a closed Hermitian operator and a dual pair of continuous operators in a Hilbert space are described; the criteria of their existence are established. We obtain existence criteria and describe the commuting maximal proper extensions of a closed Hermite operator and a dual pair of continuous operators in a Hilbeit space. Institute of Mathematics, NAS of Ukraine 1993-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5863 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 6 (1993); 744–752 Український математичний журнал; Том 45 № 6 (1993); 744–752 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5863/8409 https://umj.imath.kiev.ua/index.php/umj/article/view/5863/8410 Copyright (c) 1993 Arlinsky Yu. M.; Mogilevskii V. I.
spellingShingle Arlinsky, Yu. M.
Mogilevskii, V. I.
Арлинський, Ю. М.
Могилевский, В. И.
Commuting extensions of operators
title Commuting extensions of operators
title_alt Коммутирующие расширения операторов
title_full Commuting extensions of operators
title_fullStr Commuting extensions of operators
title_full_unstemmed Commuting extensions of operators
title_short Commuting extensions of operators
title_sort commuting extensions of operators
url https://umj.imath.kiev.ua/index.php/umj/article/view/5863
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