A remark on quasianalytic vectors for a pair of anticommuting operators

We prove that two self-adjoint operators that anticommute on the dense invariant domain of their common quasianalytic vectors are strongly anticommuting.

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Datum:1997
Hauptverfasser: Tishchenko, S. V., Тищенко, С. В.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5077
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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author Tishchenko, S. V.
Тищенко, С. В.
Тищенко, С. В.
author_facet Tishchenko, S. V.
Тищенко, С. В.
Тищенко, С. В.
author_sort Tishchenko, S. V.
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datestamp_date 2020-03-18T21:24:02Z
description We prove that two self-adjoint operators that anticommute on the dense invariant domain of their common quasianalytic vectors are strongly anticommuting.
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spelling umjimathkievua-article-50772020-03-18T21:24:02Z A remark on quasianalytic vectors for a pair of anticommuting operators Замечание о квазианалитических векторах для пары антикоммутирующих операторов Tishchenko, S. V. Тищенко, С. В. Тищенко, С. В. We prove that two self-adjoint operators that anticommute on the dense invariant domain of their common quasianalytic vectors are strongly anticommuting. Доведено, що два самоспряжених оператори, які антикомутують на щільній інваріантній області їхніх спільних квазіаналітичних векторів, є сильно антикомутуючими. Institute of Mathematics, NAS of Ukraine 1997-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5077 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 6 (1997); 878–880 Український математичний журнал; Том 49 № 6 (1997); 878–880 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5077/6851 https://umj.imath.kiev.ua/index.php/umj/article/view/5077/6852 Copyright (c) 1997 Tishchenko S. V.
spellingShingle Tishchenko, S. V.
Тищенко, С. В.
Тищенко, С. В.
A remark on quasianalytic vectors for a pair of anticommuting operators
title A remark on quasianalytic vectors for a pair of anticommuting operators
title_alt Замечание о квазианалитических векторах для пары антикоммутирующих операторов
title_full A remark on quasianalytic vectors for a pair of anticommuting operators
title_fullStr A remark on quasianalytic vectors for a pair of anticommuting operators
title_full_unstemmed A remark on quasianalytic vectors for a pair of anticommuting operators
title_short A remark on quasianalytic vectors for a pair of anticommuting operators
title_sort remark on quasianalytic vectors for a pair of anticommuting operators
url https://umj.imath.kiev.ua/index.php/umj/article/view/5077
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