Isometric Expansions of Quantum Algebra of Linear Bounded Operators
The isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for a quantum algebra of linear bounded nonunitary operators $\{T_1,T_2\}$, which is given by commutative relation $T_1T_2=qT_2T_1$ $(|q|=1)$, is constructed. Basic properties of characteristic function $S(z)$ corresponding to is...
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2006
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oai:jmag.ilt.kharkiv.ua:article-10492024-03-26T17:36:09Z Isometric Expansions of Quantum Algebra of Linear Bounded Operators Isometric Expansions of Quantum Algebra of Linear Bounded Operators Isometric Expansions of Quantum Algebra of Linear Bounded Operators Zolotarev, V. A. isometric expansion quantum algebra the Rieffel torus isometric expansion quantum algebra the Rieffel torus The isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for a quantum algebra of linear bounded nonunitary operators $\{T_1,T_2\}$, which is given by commutative relation $T_1T_2=qT_2T_1$ $(|q|=1)$, is constructed. Basic properties of characteristic function $S(z)$ corresponding to isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for given quantum algebra $\{T_1,T_2\}$ are described. Mathematics Subject Classification 2000: 47A45. The isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for a quantum algebra of linear bounded nonunitary operators $\{T_1,T_2\}$, which is given by commutative relation $T_1T_2=qT_2T_1$ $(|q|=1)$, is constructed. Basic properties of characteristic function $S(z)$ corresponding to isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for given quantum algebra $\{T_1,T_2\}$ are described. Mathematics Subject Classification 2000: 47A45. The isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for a quantum algebra of linear bounded nonunitary operators $\{T_1,T_2\}$, which is given by commutative relation $T_1T_2=qT_2T_1$ $(|q|=1)$, is constructed. Basic properties of characteristic function $S(z)$ corresponding to isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for given quantum algebra $\{T_1,T_2\}$ are described. Mathematics Subject Classification 2000: 47A45. Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2006-07-01 Article Article application/pdf https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1049 Journal of Mathematical Physics, Analysis, Geometry; Vol. 2 No. 2 (2006); 207–224 Журнал математической физики, анализа, геометрии; Том 2 № 2 (2006); 207–224 Журнал математичної фізики, аналізу, геометрії; Том 2 № 2 (2006); 207–224 1817-5805 1812-9471 en https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1049/jm02-0207e |
| institution |
Journal of Mathematical Physics, Analysis, Geometry |
| baseUrl_str |
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| datestamp_date |
2024-03-26T17:36:09Z |
| collection |
OJS |
| language |
English |
| topic |
isometric expansion quantum algebra the Rieffel torus |
| spellingShingle |
isometric expansion quantum algebra the Rieffel torus Zolotarev, V. A. Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| topic_facet |
isometric expansion quantum algebra the Rieffel torus isometric expansion quantum algebra the Rieffel torus |
| format |
Article |
| author |
Zolotarev, V. A. |
| author_facet |
Zolotarev, V. A. |
| author_sort |
Zolotarev, V. A. |
| title |
Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| title_short |
Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| title_full |
Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| title_fullStr |
Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| title_full_unstemmed |
Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| title_sort |
isometric expansions of quantum algebra of linear bounded operators |
| title_alt |
Isometric Expansions of Quantum Algebra of Linear Bounded Operators Isometric Expansions of Quantum Algebra of Linear Bounded Operators |
| description |
The isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for a quantum algebra of linear bounded nonunitary operators $\{T_1,T_2\}$, which is given by commutative relation $T_1T_2=qT_2T_1$ $(|q|=1)$, is constructed. Basic properties of characteristic function $S(z)$ corresponding to isometric expansion $\left\{V_s,\stackrel{+}{V_s}\right\}_{s=1}^2$ for given quantum algebra $\{T_1,T_2\}$ are described.
Mathematics Subject Classification 2000: 47A45. |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України |
| publishDate |
2006 |
| url |
https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1049 |
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AT zolotarevva isometricexpansionsofquantumalgebraoflinearboundedoperators |
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2025-09-26T01:40:41Z |
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2025-09-26T01:40:41Z |
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