Circle-Uniqueness of Pythagorean Orthogonality in Normed Linear Spaces

Joint Authors

Wu, Senlin
Dong, Xinjian
Wang, Dan

Source

Journal of Function Spaces

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

Mathematics

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