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Spaces C(K) with an equivalent URED norm.
- Source :
-
Proceedings of the American Mathematical Society . Apr2021, Vol. 149 Issue 4, p1569-1579. 11p. - Publication Year :
- 2021
-
Abstract
- We prove that a Banach space of continuous functions C(K) has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space K supports a strictly positive measure. [ABSTRACT FROM AUTHOR]
- Subjects :
- *K-spaces
*FUNCTION spaces
*BANACH spaces
*CONTINUOUS functions
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 149775710
- Full Text :
- https://doi.org/10.1090/proc/15315