The generalized von Neumann--Jordan constant and normal structure in Banach spaces
| Autor: | Chiping Zhang, Yunan Cui, Xi Wang |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Control and Optimization
Algebra and Number Theory Mathematical analysis Banach space Structure (category theory) normal structure Fixed-point property weakly convergent sequence coefficient 46B20 symbols.namesake generalized García--Falset coefficient Generalized von Neumann--Jordan constant symbols Limit of a sequence Constant (mathematics) fixed point property 47H10 Analysis Mathematics Von Neumann architecture |
| Zdroj: | Ann. Funct. Anal. 6, no. 4 (2015), 206-214 |
| ISSN: | 2008-8752 |
| DOI: | 10.15352/afa/06-4-206 |
| Popis: | Recently, a new geometric constant called generalized von Neumann--Jordan constant was introduced. In this paper, the relationships between above constant and generalized García--Falset coefficient are given. In terms of this constant, the lower bounds for the weakly convergent sequence coefficient of a Banach space $X$ are also shown. Moreover, some sufficient conditions which imply normal structure and uniform normal structure are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|