Norm of the sum of two orthogonal projections
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Birkhauser
2026
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| Acceso en línea: | http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712 |
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I71-R177-UNGS-27122026-01-15T09:51:23Z Norm of the sum of two orthogonal projections Conde, Cristian Marcelo Proyecciones ortogonales Desigualdades normativas Operadores positivos Operadores elementales Projeções ortogonais Desigualdades de norma Operadores positivos Operadores elementares Orthogonal projections Norm inequalities Positive operators Elementary operators Matemáticas Matemática Pura Revista con referato Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. In this note, we give a new proof of the following well-known norm formula which holds for any two orthogonal projections on a Hilbert unless This equality was proved by Duncan and Taylor (Proc R Soc Edinb Sect A 75(2):119–129, 1975). We derive this formula from the relationship between the spectra of the sum and product of any two idempotents, as well as various norm inequalities for positive operators defined on Applications of our results are given 2026-01-15T09:49:47Z 2026-01-15T09:49:47Z 2024 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Conde, C. M. (2024). Norm of the sum of two orthogonal projections. Banach Journal of Mathematical Analysis, 18(3), 1-17. 1735-8787 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712 eng http://dx.doi.org/10.1007/s43037-024-00347-9 info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Birkhauser Banach Journal of Mathematical Analysis. May. 2024; 18(3): 1-17 https://link.springer.com/journal/43037 |
| institution |
Universidad Nacional de General Sarmiento |
| institution_str |
I-71 |
| repository_str |
R-177 |
| collection |
Repositorio Institucional Digital de Acceso Abierto (UNGS) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Proyecciones ortogonales Desigualdades normativas Operadores positivos Operadores elementales Projeções ortogonais Desigualdades de norma Operadores positivos Operadores elementares Orthogonal projections Norm inequalities Positive operators Elementary operators Matemáticas Matemática Pura |
| spellingShingle |
Proyecciones ortogonales Desigualdades normativas Operadores positivos Operadores elementales Projeções ortogonais Desigualdades de norma Operadores positivos Operadores elementares Orthogonal projections Norm inequalities Positive operators Elementary operators Matemáticas Matemática Pura Conde, Cristian Marcelo Norm of the sum of two orthogonal projections |
| topic_facet |
Proyecciones ortogonales Desigualdades normativas Operadores positivos Operadores elementales Projeções ortogonais Desigualdades de norma Operadores positivos Operadores elementares Orthogonal projections Norm inequalities Positive operators Elementary operators Matemáticas Matemática Pura |
| description |
Revista con referato |
| format |
Artículo Artículo publishedVersion |
| author |
Conde, Cristian Marcelo |
| author_facet |
Conde, Cristian Marcelo |
| author_sort |
Conde, Cristian Marcelo |
| title |
Norm of the sum of two orthogonal projections |
| title_short |
Norm of the sum of two orthogonal projections |
| title_full |
Norm of the sum of two orthogonal projections |
| title_fullStr |
Norm of the sum of two orthogonal projections |
| title_full_unstemmed |
Norm of the sum of two orthogonal projections |
| title_sort |
norm of the sum of two orthogonal projections |
| publisher |
Birkhauser |
| publishDate |
2026 |
| url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712 |
| work_keys_str_mv |
AT condecristianmarcelo normofthesumoftwoorthogonalprojections |
| _version_ |
1858615834482573312 |