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On modulus of convexity of quasi-Banach spaces.
- Source :
-
Journal of Computational Analysis & Applications . 10/30/2019, Vol. 27 Issue 5, p925-934. 10p. - Publication Year :
- 2019
-
Abstract
- The aim of this report is to study modulus of convexity δB of a quasi-Banach space B. We prove that δB is convex, continuous, nondecreasing and for arbitrary uniformly convex quasi-Banach space B, δB ... We also prove that a quasi-Banach space B is uniformly convex if and only if δB(∈) ≥ 0. Moreover we prove that a non-trivial quasi-Banach space B is uniformly non-square if and only if δB(∈) > 0. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15211398
- Volume :
- 27
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 129621696