On Uniqueness of New Orthogonality via 2-HH Norm in Normed Linear Space
Joint Authors
Ojha, Bhuwan Prasad
Bajracharya, Prakash Muni
Mishra, Vishnu Narayan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper generalizes the special case of the Carlsson orthogonality in terms of the 2-HH norm in real normed linear space.
Dragomir and Kikianty (2010) proved in their paper that the Pythagorean orthogonality is unique in any normed linear space, and isosceles orthogonality is unique if and only if the space is strictly convex.
This paper deals with the complete proof of the uniqueness of the new orthogonality through the medium of the 2-HH norm.
We also proved that the Birkhoff and Robert orthogonality via the 2-HH norm are equivalent, whenever the underlying space is a real inner-product space.
American Psychological Association (APA)
Ojha, Bhuwan Prasad& Bajracharya, Prakash Muni& Mishra, Vishnu Narayan. 2020. On Uniqueness of New Orthogonality via 2-HH Norm in Normed Linear Space. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185969
Modern Language Association (MLA)
Ojha, Bhuwan Prasad…[et al.]. On Uniqueness of New Orthogonality via 2-HH Norm in Normed Linear Space. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185969
American Medical Association (AMA)
Ojha, Bhuwan Prasad& Bajracharya, Prakash Muni& Mishra, Vishnu Narayan. On Uniqueness of New Orthogonality via 2-HH Norm in Normed Linear Space. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185969
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185969
