| dc.creator |
Conde, Cristian Marcelo |
|
| dc.date.accessioned |
2026-01-15T09:49:47Z |
|
| dc.date.available |
2026-01-15T09:49:47Z |
|
| dc.date.issued |
2024 |
|
| dc.identifier.citation |
Conde, C. M. (2024). Norm of the sum of two orthogonal projections. Banach Journal of Mathematical Analysis, 18(3), 1-17. |
|
| dc.identifier.issn |
1735-8787 |
|
| dc.identifier.uri |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2712 |
|
| dc.description |
Revista con referato |
|
| dc.description |
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. |
|
| dc.description |
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. |
|
| dc.description.abstract |
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 |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.publisher |
Birkhauser |
|
| dc.relation |
http://dx.doi.org/10.1007/s43037-024-00347-9 |
|
| dc.rights |
info:eu-repo/semantics/restrictedAccess |
|
| dc.rights |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
|
| dc.source |
Banach Journal of Mathematical Analysis. May. 2024; 18(3): 1-17 |
|
| dc.source.uri |
https://link.springer.com/journal/43037 |
|
| dc.subject |
Proyecciones ortogonales |
|
| dc.subject |
Desigualdades normativas |
|
| dc.subject |
Operadores positivos |
|
| dc.subject |
Operadores elementales |
|
| dc.subject |
Projeções ortogonais |
|
| dc.subject |
Desigualdades de norma |
|
| dc.subject |
Operadores positivos |
|
| dc.subject |
Operadores elementares |
|
| dc.subject |
Orthogonal projections |
|
| dc.subject |
Norm inequalities |
|
| dc.subject |
Positive operators |
|
| dc.subject |
Elementary operators |
|
| dc.subject.classification |
Matemáticas |
|
| dc.subject.classification |
Matemática Pura |
|
| dc.title |
Norm of the sum of two orthogonal projections |
|
| dc.type |
info:eu-repo/semantics/article |
|
| dc.type |
info:ar-repo/semantics/artículo |
|
| dc.type |
info:eu-repo/semantics/publishedVersion |
|