Opening book details…
Can I read An Asymptotic Property of Schachermayer's Space under Renorming on EtoBox?
An Asymptotic Property of Schachermayer's Space under Renorming by Denka Kutzarova; Denny H. Leung is a Mathematics article available to read on EtoBox.
What is An Asymptotic Property of Schachermayer's Space under Renorming about?
Let X be a Banach space with closed unit ball B. Given k ∈ , X is said to be k-β, respectively, k + 1 -nearly uniformly convex ( k + 1 -NUC), if for every ε > 0 there exists δ, 0 < δ < 1, so that for every x ∈ B and every ε-separated sequence x n ⊆ B there are indices It is shown that a Banach space constructed by Schachermayer is 2-β, but is not isomorphic to any 2-NUC Banach space. Modifying this example, we also show that there is a 2-NUC Banach space which cannot be equivalently renormed to be 1-β.
Who reads An Asymptotic Property of Schachermayer's Space under Renorming?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Denka Kutzarova; Denny H. Leung
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)
- Published
- 2000
- Language
- EN
- Field
- Mathematics (Physical Sciences)