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The Schreier space does not have the uniform λ-property.
- Source :
-
Proceedings of the American Mathematical Society . Dec2021, Vol. 149 Issue 12, p5131-5137. 7p. - Publication Year :
- 2021
-
Abstract
- The \lambda-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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 153034031
- Full Text :
- https://doi.org/10.1090/proc/14766