The differences between Birkhoff and isosceles orthogonalities in Radon planes

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The differences between Birkhoff and isosceles orthogonalities in Radon planes

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dc.contributor.author Mizuguchi, Hiroyasu
dc.date.accessioned 2019-03-08T12:49:36Z
dc.date.available 2019-03-08T12:49:36Z
dc.date.issued 2017
dc.identifier.uri http://hdl.handle.net/10662/8919
dc.description.abstract The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful. When moving to normed spaces, we have many possibilities to extend this notion. We consider Birkhoff orthogonality and isosceles orthogonality. Recently the constants which measure the difference between these orthogonalities have been investigated. The usual orthognality in inner product spaces and isosceles orthogonality in normed spaces are symmetric. However, Birkhoff orthogonality in normed spaces is not symmetric in general. A two-dimensional normed space in which Birkhoff orthogonality is symmetric is called a Radon plane. In this paper, we consider the difference between Birkhoff and isosceles orthogonalities in Radon planes. es_ES
dc.format.extent 36 p. es_ES
dc.format.mimetype application/pdf en_US
dc.language.iso eng es_ES
dc.publisher Universidad de Extremadura es_ES
dc.rights Attribution-NonCommercial 4.0 International *
dc.rights.uri http://creativecommons.org/licenses/by-nc/4.0/ *
dc.subject Birkhoff orthogonality es_ES
dc.subject Isosceles orthogonality es_ES
dc.subject Minkowski plane es_ES
dc.subject Minkowski geometry es_ES
dc.subject Radon plane es_ES
dc.subject Ortogonalidad de Birkhoff es_ES
dc.subject Ortogonalidad de isósceles es_ES
dc.subject Plano de Minkowski es_ES
dc.subject Geometría de Minkowski es_ES
dc.subject Plano de Radon es_ES
dc.title The differences between Birkhoff and isosceles orthogonalities in Radon planes es_ES
dc.type article es_ES
dc.description.version peerReviewed es_ES
europeana.type TEXT en_US
dc.rights.accessRights openAccess es_ES
dc.subject.unesco 1204.06 Geometría Euclídea es_ES
europeana.dataProvider Universidad de Extremadura. España es_ES
dc.identifier.bibliographicCitation Mizuguchi, H. (2017). The differences between Birkhoff and isosceles orthogonalities in Radon planes. Extracta Mathematicae 32 (2), 173-208. E-ISSN 2605-5686 es_ES
dc.type.version publishedVersion es_ES
dc.contributor.affiliation Chiba Institute of Technology. Japan en_US
dc.identifier.publicationtitle Extracta Mathematicae es_ES
dc.identifier.publicationissue 2 es_ES
dc.identifier.publicationfirstpage 173 es_ES
dc.identifier.publicationlastpage 208 es_ES
dc.identifier.publicationvolume 32 es_ES
dc.identifier.e-issn 2605-5686


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