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A new definition of strictly convex 2-normed spaces.

Authors :
Widyatma, Leo
Gunawan, Hendra
Source :
AIP Conference Proceedings. 2024, Vol. 3029 Issue 1, p1-3. 3p.
Publication Year :
2024

Abstract

The concept of 2-normed spaces was introduced by S. Gähler in 1964. Many notions of normed spaces have been extended to 2-normed space by many researchers, including the notion of convexity. In 1974, C. Diminnie and A. White defined uniformly convex 2-normed spaces and strictly convex 2-normed spaces. In this paper, we give a new definition of strictly convex 2-normed spaces and its geometric interpretation by choosing W = {span(x−y)}⊥. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
3029
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
178817466
Full Text :
https://doi.org/10.1063/5.0193423