Relationship between Generalized Orthogonality and Gâteaux Derivative

Relationship between Generalized Orthogonality and Gâteaux Derivative

This paper investigates the relationship between generalized orthogonality and Gâteaux derivative of the norm in a normed linear space. It is shown that the Gâteaux derivative of <i>x</i> in the <i>y</i> direction is zero when the norm is Gâteaux differentiable in the <i&g...

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Bibliographic Details
Main Authors: Peixuan Xu, Donghai Ji, Hongxu Zhang
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
Gâteaux derivative
isosceles orthogonality
Birkhoff orthogonality
approximate orthogonality
Online Access:https://www.mdpi.com/2227-7390/12/3/364

Internet

https://www.mdpi.com/2227-7390/12/3/364

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