Hermite-Hadamard type of unitary isosceles orthogonality in normed linear spaces

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, using the notion of Hermite-Hadamard type of isosceles orthogonality (HH-I-orthogonality) and its unitary version, we provide a new characterization of inner product spaces. In fact, we give a necessary and sufficient condition weaker than the homogeneity of HH-I-orthogonality in real normed linear space X, whose dimension is at least three, under which the norm of X comes from an inner product.

Keywords:

Inner product space , orthogonality , Birkhoff-James orthogonality , Hermite-Hadamard type of isosceles orthogonality

Language:
English
Published:
Wavelets and Linear Algebra, Volume:8 Issue: 3, Autumn and Winter 2021
Pages:
17 to 36
https://www.magiran.com/p2543358