Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces
Joint Authors
Wu, Senlin
Dong, Xinjian
Wang, Dan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-11
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We introduce the circle-uniqueness of Pythagorean orthogonality in normed linear spaces and show that Pythagorean orthogonality is circle-unique if and only if the underlying space is strictly convex.
Further related results providing more detailed relations between circle-uniqueness of Pythagorean orthogonality and the shape of the unit sphere are also presented.
American Psychological Association (APA)
Wu, Senlin& Dong, Xinjian& Wang, Dan. 2014. Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1040696
Modern Language Association (MLA)
Wu, Senlin…[et al.]. Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces. Journal of Function Spaces No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1040696
American Medical Association (AMA)
Wu, Senlin& Dong, Xinjian& Wang, Dan. Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1040696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040696