1. Strict topologies as topological algebras
- Creator:
- Khurana, Surjit Singh
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- strict topologies, locally convex algebras, and locally $m$-convex algebras
- Language:
- English
- Description:
- Let $X$ be a completely regular Hausdorff space, $C_{b}(X)$ the space of all scalar-valued bounded continuous functions on $X$ with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally $m$-convex.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public