Unitarizable and non-unitarizable represenations of algebras generated by idempotents

Unitarizable and non-unitarizable represenations of algebras generated by idempotents

The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven.

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Bibliographic Details
Date:2018
Main Authors: Popovych, Stanislav, Turowska, Lyudmila
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
idempotent
projection
representation
unitarization
Hilbert space
16W10
47L30
16G20
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1003
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-10032018-05-15T06:07:40Z Unitarizable and non-unitarizable represenations of algebras generated by idempotents Popovych, Stanislav Turowska, Lyudmila idempotent, projection, representation, unitarization, Hilbert space 16W10, 47L30, 16G20 The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003/532 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-15T06:07:40Z
collection OJS
language English
topic idempotent
projection
representation
unitarization
Hilbert space
16W10
47L30
16G20
spellingShingle idempotent
projection
representation
unitarization
Hilbert space
16W10
47L30
16G20
Popovych, Stanislav
Turowska, Lyudmila
Unitarizable and non-unitarizable represenations of algebras generated by idempotents
topic_facet idempotent
projection
representation
unitarization
Hilbert space
16W10
47L30
16G20
format Article
author Popovych, Stanislav
Turowska, Lyudmila
author_facet Popovych, Stanislav
Turowska, Lyudmila
author_sort Popovych, Stanislav
title Unitarizable and non-unitarizable represenations of algebras generated by idempotents
title_short Unitarizable and non-unitarizable represenations of algebras generated by idempotents
title_full Unitarizable and non-unitarizable represenations of algebras generated by idempotents
title_fullStr Unitarizable and non-unitarizable represenations of algebras generated by idempotents
title_full_unstemmed Unitarizable and non-unitarizable represenations of algebras generated by idempotents
title_sort unitarizable and non-unitarizable represenations of algebras generated by idempotents
description The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is presented. Unitarization of representations from discrete series is proven.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1003
work_keys_str_mv AT popovychstanislav unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents
AT turowskalyudmila unitarizableandnonunitarizablerepresenationsofalgebrasgeneratedbyidempotents
first_indexed 2025-07-17T10:34:06Z
last_indexed 2025-07-17T10:34:06Z
_version_ 1837889955569860608

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