Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces

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...

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Bibliographic Details
Main Authors: Senlin Wu, Xinjian Dong, Dan Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/634842
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