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- Title
Some Results on Approximation Properties of Lipschitz Maps.
- Authors
Kim, Ju Myung
- Abstract
We prove thet a Banach space X has the λ -bounded compact approximation property (respectively, weak λ -bounded approximation property) if and only if X has the λ -Lipschitz bounded compact approximation property (respectively, weak λ -Lipschitz bounded approximation property). Also, it is shown that the dual space of X has the approximation property if and only if for every separable reflexive Banach space Y, the space of finite rank Lipschitz maps from X to Y is dense in the Lipschitz norm in the space of compact operators from X to Y.
- Subjects
BANACH spaces; LIPSCHITZ spaces; COMMERCIAL space ventures
- Publication
Results in Mathematics / Resultate der Mathematik, 2024, Vol 79, Issue 3, p1
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-024-02155-x