Photo from archive.org
We introduce and study strict, uniform, and compact-open locally convex topologies on an algebra $${\mathcal {B}},$$B, by the fundamental system of seminorms of a locally convex subalgebra $$({\mathcal {A},p}_\alpha )$$(A,pα).… Click to show full abstract
We introduce and study strict, uniform, and compact-open locally convex topologies on an algebra $${\mathcal {B}},$$B, by the fundamental system of seminorms of a locally convex subalgebra $$({\mathcal {A},p}_\alpha )$$(A,pα). Moreover, we investigate when $${\mathcal {B}}$$B is a locally convex algebra with respect to these topologies. Furthermore, we generalize an essential result related to derivations, from Banach to the Fréchet case. Finally we provide a useful example in this field.
Keywords:
compact open;
topologies algebra;
uniform compact;
strict uniform;
open topologies;
locally convex
Journal Title: Periodica Mathematica Hungarica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Periodica Mathematica Hungarica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!