2019/04/23 by Kevin Beanland, Hùng Việt Chu, Beanland, Kevin +2
Decision Sciences · Mathematics · #46B99 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #math.FA #msc:46B99
paper · pdf · doi:10.48550/arxiv.1904.10384
arxiv created 2019/04/23 · openalex publication_date 2019/04/23 · arxiv updated 2019/04/24 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28
The λ-property and the uniform λ-property were first introduced by R. Aron and R. Lohman in 1987 as geometric properties of Banach spaces. In 1989, Th. Shura and D. Trautman showed that the Schreier space possesses the λ-property and asked if it has the uniform λ-property. In this paper, we show that Schreier space does not have the uniform λ-property. Furthermore, we show that the dual of the Schreier space does not have the uniform λ-property.