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Generalized von Neumann-Jordan and James Constants for Quasi-Banach Spaces.
- Source :
-
Journal of Computational Analysis & Applications . Nov2018, Vol. 25 Issue 6, p1043-1052. 10p. - Publication Year :
- 2018
-
Abstract
- The generalized von Neumann-Jordan constant C(p)NJ (B) and the James constant J(B) for a quasi-Banach space were introduced in [7]. In this note, it is shown that C(p)NJ (B) ≥ 2 for any quasi-Banach space B andC(p)NJ (B) < 2 if and only if B is uniformly non-square. Along with relationship between J(B) and C(p)NJ (B), the criterion for the uniformily smooth quasi-Banach space is also established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15211398
- Volume :
- 25
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123122345