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dc.contributor.author
Conde, Cristian Marcelo  
dc.date.available
2022-07-04T18:59:09Z  
dc.date.issued
2022-01  
dc.identifier.citation
Conde, Cristian Marcelo; A note about the norm of the sum and the anticommutator of two orthogonal projections; Elsevier; Journal of Mathematical Analysis and Applications; 505; 2; 1-2022; 1-11  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/161213  
dc.description.abstract
In this note, we prove that for any two orthogonal projections PT,PS on a Hilbert the well-known norm formulas ‖PT+PS‖=1+‖PTPS‖, unless PT=PS=0 and ‖PTPS+PSPT‖=‖PTPS‖2+‖PTPS‖, can be derived from each other. Such result is obtained from the relation between the spectra of the sum and product of any two idempotents in a Banach algebra. Applications of our results are given.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ANTICOMMUTATOR  
dc.subject
COMMUTATOR  
dc.subject
NORM INEQUALITIES  
dc.subject
ORTHOGONAL PROJECTION  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A note about the norm of the sum and the anticommutator 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  
dc.date.updated
2022-06-30T19:02:40Z  
dc.journal.volume
505  
dc.journal.number
2  
dc.journal.pagination
1-11  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina  
dc.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0022247X21007290  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2021.125650  

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