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dc.contributor.author
Aljawi, Salma  
dc.contributor.author
Conde, Cristian Marcelo  
dc.contributor.author
Feki, Kais  
dc.contributor.author
Furuichi, Shigeru  
dc.date.available
2025-11-04T11:30:02Z  
dc.date.issued
2025-06  
dc.identifier.citation
Aljawi, Salma; Conde, Cristian Marcelo; Feki, Kais; Furuichi, Shigeru; New Results on Idempotent Operators in Hilbert Spaces; Multidisciplinary Digital Publishing Institute; Axioms; 14; 7; 6-2025; 1-18  
dc.identifier.issn
2075-1680  
dc.identifier.uri
http://hdl.handle.net/11336/274695  
dc.description.abstract
This paper provides a new proof of the operator norm identity ∥Q∥ = ∥I −Q∥, where Q is abounded idempotent operator on a complex Hilbert space, and I is the identity operator. Wealso derive explicit lower and upper bounds for the distance from an arbitrary idempotentoperator to the set of orthogonal projections. Our approach simplifies existing proofs.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Multidisciplinary Digital Publishing Institute  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
idempotent operators  
dc.subject
operator norm  
dc.subject
orthogonal projections  
dc.subject
oblique projections  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
New Results on Idempotent Operators in Hilbert Spaces  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2025-11-03T11:12:58Z  
dc.journal.volume
14  
dc.journal.number
7  
dc.journal.pagination
1-18  
dc.journal.pais
Suiza  
dc.description.fil
Fil: Aljawi, Salma. Princess Nourah Bint Abdulrahman University; Arabia Saudita  
dc.description.fil
Fil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Feki, Kais. Najran University; Arabia Saudita  
dc.description.fil
Fil: Furuichi, Shigeru. Nihon University; Japón  
dc.journal.title
Axioms  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2075-1680/14/7/509  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3390/axioms14070509  

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