1. Convex-compact sets and Banach discs
- Creator:
- Monterde, I. and Montesinos, Vicente
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- weakly compact sets, convex-compact sets, and Banach discs
- Language:
- English
- Description:
- Every relatively convex-compact convex subset of a locally convex space is contained in a Banach disc. Moreover, an upper bound for the class of sets which are contained in a Banach disc is presented. If the topological dual $E'$ of a locally convex space $E$ is the $\sigma (E',E)$-closure of the union of countably many $\sigma (E',E)$-relatively countably compacts sets, then every weakly (relatively) convex-compact set is weakly (relatively) compact.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public