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The behaviour of quasi-linear maps on C(K)-spaces.
- Source :
-
Journal of Mathematical Analysis & Applications . Jul2019, Vol. 475 Issue 2, p1714-1719. 6p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper we combine topological and functional analysis methods to prove that a non-locally trivial quasi-linear map defined on a C (K) must be nontrivial on a subspace isomorphic to c 0. We conclude the paper with a few examples showing that the result is optimal, and providing an application to the existence of nontrivial twisted sums of ℓ 1 and c 0. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 475
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 135688356
- Full Text :
- https://doi.org/10.1016/j.jmaa.2019.03.040