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dc.contributor.author
Altwaijry, Najla  
dc.contributor.author
Chmieliski, Jacek  
dc.contributor.author
Conde, Cristian Marcelo  
dc.contributor.author
Feki, Kais  
dc.date.available
2025-11-03T12:32:27Z  
dc.date.issued
2025-06  
dc.identifier.citation
Altwaijry, Najla; Chmieliski, Jacek; Conde, Cristian Marcelo; Feki, Kais; Approximate orthogonality and its applications to specific classes of linear operators; Gauthier-Villars/Editions Elsevier; Bulletin Des Sciences Mathematiques; 202; 6-2025; 1-29  
dc.identifier.issn
0007-4497  
dc.identifier.uri
http://hdl.handle.net/11336/274592  
dc.description.abstract
This paper presents new results on approximate Birkhoff-James orthogonality in normed spaces. Mainly, by extending the idea of norm derivatives, we establish a characterizationof this concept in general complex normed linear spaces. Additionally, we investigate and characterize this type of orthogonality in the context of bounded linear operators in Hilbert spaces, with a particular focus on operators that are close to the ideal of compact operators and those that belong to the p-Schatten class.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Gauthier-Villars/Editions Elsevier  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Birkhoff–James orthogonality  
dc.subject
Approximate orthogonality  
dc.subject
Linear operators  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Approximate orthogonality and its applications to specific classes of linear operators  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2025-11-03T11:13:03Z  
dc.journal.volume
202  
dc.journal.pagination
1-29  
dc.journal.pais
Francia  
dc.journal.ciudad
Paris  
dc.description.fil
Fil: Altwaijry, Najla. King Saud University; Arabia Saudita  
dc.description.fil
Fil: Chmieliski, Jacek. University Of The National Education Comission; Polonia  
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. University Of Sfax; Túnez  
dc.journal.title
Bulletin Des Sciences Mathematiques  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0007449725000715  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.bulsci.2025.103645  

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