Area orthogonality in normed linear spaces
type: Item
instance of: scholarly article
title: Area orthogonality in normed linear spaces
zbMATH Open document ID: 0865.46004
DOI: 10.1007/PL00000397
author: Javier Alonso
author: Carlos Benítez
published in: Archiv der Mathematik
publication date: 1997-06-19T00:00:00Z
review text: A new concept of orthogonality in real normed linear spaces is introduced. Typical properties of orthogonality (homogeneity, symmetry, additivity, \dots) and relations between this orthogonality and other known orthogonalities (Birkhoff, Boussouis, unitary-Boussouis and Diminnie) are studied. In particular, some characterizations of inner product spaces are obtained.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46C15
zbMATH DE Number: 950064
zbMATH Keywords: orthogonality
zbMATH Keywords: normed linear spaces
zbMATH Keywords: inner product spaces
MaRDI profile type: Publication
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full work available at URL: pl00000397
OpenAlex ID: W2022389588
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description: scientific article; zbMATH DE number 950064