Sets of orthoprojectors connected by correlations
A problem of unitary classification of families of operators $R_i=R_i^*=R_i^{-1}$ in a Hilbert space, connected by some additional relations. Such families occur in problems concerning representations of a side class of *-algebras, among others, two parameter deformations $U(su (2))$, constructed by...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8099 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512901871173632 |
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| author | Bespalov, Yu. N. Беспалов, Ю. Н. |
| author_facet | Bespalov, Yu. N. Беспалов, Ю. Н. |
| author_sort | Bespalov, Yu. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:52Z |
| description | A problem of unitary classification of families of operators $R_i=R_i^*=R_i^{-1}$ in a Hilbert space, connected by some additional relations. Such families occur in problems concerning representations of a side class of *-algebras, among others, two parameter deformations $U(su (2))$, constructed by E. K. Sklyannyi.
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| first_indexed | 2026-03-24T03:36:09Z |
| format | Article |
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| id | umjimathkievua-article-8099 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:36:09Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2b/240b02135eba5a1c8419b3e1704b3c2b.pdf |
| spelling | umjimathkievua-article-80992024-01-31T10:37:52Z Sets of orthoprojectors connected by correlations Наборы ортопроекторов, связанных соотношениями Bespalov, Yu. N. Беспалов, Ю. Н. A problem of unitary classification of families of operators $R_i=R_i^*=R_i^{-1}$ in a Hilbert space, connected by some additional relations. Such families occur in problems concerning representations of a side class of *-algebras, among others, two parameter deformations $U(su (2))$, constructed by E. K. Sklyannyi. Решена задача унитарной классификации наборов операторов $R_i=R_i^*=R_i^{-1}$ в гильбертовом пространстве, связанных некоторыми дополнительными соотношениями. Такие наборы возникают при изучении представлений широкого класса *-алгебр, в том числе двупараметрических деформаций $U(su (2))$, построенных Е. К. Скляниным. Розв’язана задача унітарної класифікації наборів операторів $R_i=R_i^*=R_i^{-1}$ в гільбертовому просторі, зв’язаних деякими додатковими співвідношеннями. Такі набори виникають при вивченні зображень широкого класу *-алгебр, в тому числі двопараметричних деформацій $U(su (2))$, побудованих Є. К. Скляніним. Institute of Mathematics, NAS of Ukraine 1992-04-02 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8099 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 3 (1992); 309-317 Український математичний журнал; Том 44 № 3 (1992); 309-317 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8099/9630 Copyright (c) 1992 Yu. N. Bespalov |
| spellingShingle | Bespalov, Yu. N. Беспалов, Ю. Н. Sets of orthoprojectors connected by correlations |
| title | Sets of orthoprojectors connected by correlations |
| title_alt | Наборы ортопроекторов, связанных соотношениями |
| title_full | Sets of orthoprojectors connected by correlations |
| title_fullStr | Sets of orthoprojectors connected by correlations |
| title_full_unstemmed | Sets of orthoprojectors connected by correlations |
| title_short | Sets of orthoprojectors connected by correlations |
| title_sort | sets of orthoprojectors connected by correlations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8099 |
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