A Few Remarks on Bounded Operators on Topological Vector Spaces

Abstract

We give a few observations on dierent types of bounded operators on
a topological vector space X and their relations with compact operators
on X. In particular, we investigate when these bounded operators coincide
with compact operators. We also consider similar types of bounded
bilinear mappings between topological vector spaces. Some properties of
tensor product operators between locally convex spaces are established.
In the last part of the paper we deal with operators on topological Riesz
spaces.