| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615627 | Journal of Mathematical Analysis and Applications | 2015 | 5 Pages |
Abstract
For a Banach space E, it is well-known that a necessary condition for E to have the controlled separable complementation property (CSCP, for short) is that the dual unit ball BEâ be monolithic in the weak-star topology. We prove here that when X is a scattered first countable locally compact space, then monolithicity of X turns out to be sufficient for C0(X) to enjoy the CSCP.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jesús Ferrer,