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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156576 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862531969765605376 |
|---|---|
| author | Savchuk, Y. |
| author_facet | Savchuk, Y. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-24T04:43:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156576 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T04:43:53Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Savchuk, Y. 2019-06-18T17:18:04Z 2019-06-18T17:18:04Z 2004 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. https://nasplib.isofts.kiev.ua/handle/123456789/156576 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. Author expresses his gratitude to Prof. Yuri˘ı S. Samo˘ılenko for the problem stating and permanently attention. I am also indebted to Dr. Daniil
 P. Proskurin for his critical remarks and helpful discussions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics C*-algebra generated by four projections with sum equal to 2 Article published earlier |
| spellingShingle | C*-algebra generated by four projections with sum equal to 2 Savchuk, Y. |
| title | 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_short | C*-algebra generated by four projections with sum equal to 2 |
| title_sort | c*-algebra generated by four projections with sum equal to 2 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156576 |
| work_keys_str_mv | AT savchuky calgebrageneratedbyfourprojectionswithsumequalto2 |