AbstractIn this paper, we consider the notion of module homomorphisms in the general topological module setting and establish their linearity and continuity under some suitable conditions. We also introduce the strict and uniform topologies on the modules of continuous linear homomorphisms and study their various properties
The classical Bourbaki-Alaoglu theorem asserts that the polar U ◦ of a neighborhood of 0 in a locall...
Copyright © 2014 Youssef Tidli. This is an open access article distributed under the Creative Common...
summary:Compatible topologies and bornologies on modules are introduced and studied
summary:It is shown that a homomorphism between certain topological algebras of holomorphic function...
summary:We study the validity of two basic results of the classical theory of topological vector spa...
A homomorphism from a locally convex Q-algebra to a uniform topological algebra is continuous. A one...
Homomorphisms $f : E → F$ between locally convex spaces $E, F$, i.e. continuous linear maps which ar...
Abstract The intersection of all zero-neighborhoods in a topological module over a topological ring ...
summary:Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessaril...
AbstractThis paper deals with finiteness properties of the homomorphism between the rings of continu...
We present closed graph and open mapping theorems for ℂ̃-linear maps acting between suitable classes...
AbstractLet C(X,G) be the group of continuous functions from a topological space X into a topologica...
AbstractThe concepts of continuity and Čech continuity for functors on the homotopy category of topo...
International audienceLet A and B be commutative locally convex algebras with unit. A is assumed to ...
AbstractLet C(X,T) be the group of continuous functions of a compact Hausdorff space X to the unit c...
The classical Bourbaki-Alaoglu theorem asserts that the polar U ◦ of a neighborhood of 0 in a locall...
Copyright © 2014 Youssef Tidli. This is an open access article distributed under the Creative Common...
summary:Compatible topologies and bornologies on modules are introduced and studied
summary:It is shown that a homomorphism between certain topological algebras of holomorphic function...
summary:We study the validity of two basic results of the classical theory of topological vector spa...
A homomorphism from a locally convex Q-algebra to a uniform topological algebra is continuous. A one...
Homomorphisms $f : E → F$ between locally convex spaces $E, F$, i.e. continuous linear maps which ar...
Abstract The intersection of all zero-neighborhoods in a topological module over a topological ring ...
summary:Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessaril...
AbstractThis paper deals with finiteness properties of the homomorphism between the rings of continu...
We present closed graph and open mapping theorems for ℂ̃-linear maps acting between suitable classes...
AbstractLet C(X,G) be the group of continuous functions from a topological space X into a topologica...
AbstractThe concepts of continuity and Čech continuity for functors on the homotopy category of topo...
International audienceLet A and B be commutative locally convex algebras with unit. A is assumed to ...
AbstractLet C(X,T) be the group of continuous functions of a compact Hausdorff space X to the unit c...
The classical Bourbaki-Alaoglu theorem asserts that the polar U ◦ of a neighborhood of 0 in a locall...
Copyright © 2014 Youssef Tidli. This is an open access article distributed under the Creative Common...
summary:Compatible topologies and bornologies on modules are introduced and studied
DOI
Add to ORKG