AbstractIt is proved that a locally quasi-convex group is a Schwartz group if and only if every continuously convergent filter on its dual group converges locally uniformly. We also show that for metrizable separable groups a similar result remains true when filters are replaced by sequences. As an ingredient in the proofs of these results, we obtain a Schauder-type theorem on compact homomorphisms acting between the natural group analogues of normed spaces
In this paper we introduce a notion of a Schwartz group, which turns out to be coherent with the we...
We prove that every dense Subgroup of a topological abelian group has the same 'convergence dual' as...
AbstractThe behavior of strongly continuous one-parameter semigroups of operators on locally convex ...
AbstractIt is proved that a locally quasi-convex group is a Schwartz group if and only if every cont...
We prove that in the character group of an abelian topological group, the topology associated (in a ...
AbstractIt is natural to extend the Grothendieck theorem on completeness, valid for locally convex t...
It is natural to extend the Grothendieck Theorem on completeness, valid for locally convex topologi...
AbstractThe well-known Pontryagin Duality Theorem states that a locally compact, commutative topolog...
Properties of a convergence semigroup S acting continuously on a locally convex convergence space X ...
[EN] In the realm of the convergence spaces, the generalisation of topological groups is the converg...
A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) i...
It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topologi...
AbstractIt is natural to extend the Grothendieck theorem on completeness, valid for locally convex t...
AbstractLet G be a locally compact abelian group. The Schwartz-Bruhat space of functions on G is the...
It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topologi...
In this paper we introduce a notion of a Schwartz group, which turns out to be coherent with the we...
We prove that every dense Subgroup of a topological abelian group has the same 'convergence dual' as...
AbstractThe behavior of strongly continuous one-parameter semigroups of operators on locally convex ...
AbstractIt is proved that a locally quasi-convex group is a Schwartz group if and only if every cont...
We prove that in the character group of an abelian topological group, the topology associated (in a ...
AbstractIt is natural to extend the Grothendieck theorem on completeness, valid for locally convex t...
It is natural to extend the Grothendieck Theorem on completeness, valid for locally convex topologi...
AbstractThe well-known Pontryagin Duality Theorem states that a locally compact, commutative topolog...
Properties of a convergence semigroup S acting continuously on a locally convex convergence space X ...
[EN] In the realm of the convergence spaces, the generalisation of topological groups is the converg...
A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) i...
It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topologi...
AbstractIt is natural to extend the Grothendieck theorem on completeness, valid for locally convex t...
AbstractLet G be a locally compact abelian group. The Schwartz-Bruhat space of functions on G is the...
It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topologi...
In this paper we introduce a notion of a Schwartz group, which turns out to be coherent with the we...
We prove that every dense Subgroup of a topological abelian group has the same 'convergence dual' as...
AbstractThe behavior of strongly continuous one-parameter semigroups of operators on locally convex ...
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