Orthogonality in smooth countably normed spaces

Orthogonality in smooth countably normed spaces

Abstract We generalize the concepts of normalized duality mapping, J-orthogonality and Birkhoff orthogonality from normed spaces to smooth countably normed spaces. We give some basic properties of J-orthogonality in smooth countably normed spaces and show a relation between J-orthogonality and metri...

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Bibliographic Details
Main Authors: Sarah Tawfeek, Nashat Faried, H. A. El-Sharkawy
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of Inequalities and Applications
Subjects:
Countably normed space
Normalized duality mapping
J-orthogonality
Uniformly convex countably normed space
Projection theorem in a countably normed space
Metric projection
Online Access:https://doi.org/10.1186/s13660-020-02531-5

Internet

https://doi.org/10.1186/s13660-020-02531-5

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