C*-algebra generated by four projections with sum equal to 2
We describe the C*-algebra generated by four orthogonal projections p₁,p₂,p₃,p₄, satisfying the linear relation p₁ + p₂ + p₃ + p₄ = 2I. The simplest realization by 2 × 2-matrixfunctions over the sphere S² is given.
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| Дата: | 2004 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156576 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | C*-algebra generated by four projections with sum equal to 2 / Y. Savchuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 126–134. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156576 |
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dspace |
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irk-123456789-1565762019-06-19T01:28:57Z C*-algebra generated by four projections with sum equal to 2 Savchuk, Y. We describe the C*-algebra generated by four orthogonal projections p₁,p₂,p₃,p₄, satisfying the linear relation p₁ + p₂ + p₃ + p₄ = 2I. The simplest realization by 2 × 2-matrixfunctions over the sphere S² is given. 2004 Article C*-algebra generated by four projections with sum equal to 2 / Y. Savchuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 126–134. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 46L05, 47L50. http://dspace.nbuv.gov.ua/handle/123456789/156576 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We describe the C*-algebra generated by four
orthogonal projections p₁,p₂,p₃,p₄, satisfying the linear relation
p₁ + p₂ + p₃ + p₄ = 2I. The simplest realization by 2 × 2-matrixfunctions over the sphere S² is given. |
| format |
Article |
| author |
Savchuk, Y. |
| spellingShingle |
Savchuk, Y. C*-algebra generated by four projections with sum equal to 2 Algebra and Discrete Mathematics |
| author_facet |
Savchuk, Y. |
| author_sort |
Savchuk, Y. |
| title |
C*-algebra generated by four projections with sum equal to 2 |
| title_short |
C*-algebra generated by four projections with sum equal to 2 |
| title_full |
C*-algebra generated by four projections with sum equal to 2 |
| title_fullStr |
C*-algebra generated by four projections with sum equal to 2 |
| title_full_unstemmed |
C*-algebra generated by four projections with sum equal to 2 |
| title_sort |
c*-algebra generated by four projections with sum equal to 2 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156576 |
| citation_txt |
C*-algebra generated by four projections with sum equal to 2 / Y. Savchuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 126–134. — Бібліогр.: 8 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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2025-07-14T08:56:31Z |
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2025-07-14T08:56:31Z |
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