We study the heredity of local completeness and the strict Mackey convergence property from the locally convex space E to the space of absolutely p-summable sequences on E, p(E) for 1 ≤ p <∞. 2000 Mathematics Subject Classification: 46A03, 46A17. 1. Introduction. In 1956, Grothendieck [5
AbstractWe prove an extension of Ekeland's variational principle to locally complete spaces which us...
AbstractBy using a very general drop theorem in locally convex spaces we obtain some extended versio...
AbstractThe following theorem is proved. If a locally convex space, quasi-complete for Mackey topolo...
We study the heredity of local completeness and the strict Mackey convergence property from the loca...
We study the heredity of local completeness and the strict Mackey convergence property from the loca...
p-summable sequences in E[τ] We follow the notation of [7,10]. In particular, if E[τ] is a locally c...
Abstract. We defined the p,q-summability property and study the relations between the p,q-summabilit...
We defined the ℓp,q-summability property and study the relations between the ℓp,q-summability proper...
ABSTRACT;. The problem of characterizing those locally convex spaces satisfying the Mackey convergen...
Let E be a locally convex space and Λ a perfect sequence space. Denote by Λ (E)r the space of all Λ-...
In recent publications the concepts of fast completeness and local barreledness have been shown to b...
summary:Suppose that $X$ is a Fréchet space, $\langle a_{ij}\rangle$ is a regular method of summabil...
summary:Suppose that $X$ is a Fréchet space, $\langle a_{ij}\rangle$ is a regular method of summabil...
Abstract. In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space s...
Abstract. In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space s...
AbstractWe prove an extension of Ekeland's variational principle to locally complete spaces which us...
AbstractBy using a very general drop theorem in locally convex spaces we obtain some extended versio...
AbstractThe following theorem is proved. If a locally convex space, quasi-complete for Mackey topolo...
We study the heredity of local completeness and the strict Mackey convergence property from the loca...
We study the heredity of local completeness and the strict Mackey convergence property from the loca...
p-summable sequences in E[τ] We follow the notation of [7,10]. In particular, if E[τ] is a locally c...
Abstract. We defined the p,q-summability property and study the relations between the p,q-summabilit...
We defined the ℓp,q-summability property and study the relations between the ℓp,q-summability proper...
ABSTRACT;. The problem of characterizing those locally convex spaces satisfying the Mackey convergen...
Let E be a locally convex space and Λ a perfect sequence space. Denote by Λ (E)r the space of all Λ-...
In recent publications the concepts of fast completeness and local barreledness have been shown to b...
summary:Suppose that $X$ is a Fréchet space, $\langle a_{ij}\rangle$ is a regular method of summabil...
summary:Suppose that $X$ is a Fréchet space, $\langle a_{ij}\rangle$ is a regular method of summabil...
Abstract. In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space s...
Abstract. In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space s...
AbstractWe prove an extension of Ekeland's variational principle to locally complete spaces which us...
AbstractBy using a very general drop theorem in locally convex spaces we obtain some extended versio...
AbstractThe following theorem is proved. If a locally convex space, quasi-complete for Mackey topolo...