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- Title
Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK).
- Authors
Cui, Yunan; Wang, Xiaoxia
- Abstract
A new geometry property and two new moduli are introduced in Banach space. First, the concept of local uniform Kadec-Klee property (L U K K) is introduced and the implication relationships between L U K K and local near uniform convexity L N U C , uniformly Kadec-Klee (U K K), (H) are investigated in Banach space. Furthermore, the modulus P X L ε of (L U K K) and the modulus Δ X L ε of L N U C are introduced and the relationship of size between P X L ε and Δ X L ε is also investigated in Banach space. Finally, several formulas for P X L ε are calculated in classical Banach space l p .
- Subjects
BANACH spaces
- Publication
Journal of Function Spaces, 2020, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2020/8191878