Characterization of Inner Product Spaces by Unitary Carlsson Type Orthogonalities

AuthorsMahdi Dehghani
JournalFilomat
Page number4655–4663
Volume number36
Paper TypeOriginal Research
Published At2022
Journal GradeISI (WOS)
Journal TypeElectronic
Journal CountrySerbia

Abstract

In this study, we consider the Hermite-Hadamard type of unitary Carlsson’s orthogonality
(UHH-C-orthogonality) to characterize real inner product spaces. We give a necessary and sufficient condi-
tion weaker than the homogeneity of symmetric HH-C-orthogonalities which characterizes inner product
spaces among normed linear spaces of dimension at least three. In conclusion, some more characterizations
of real inner product spaces are provided

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