S. Gabriyelyan

activity

20082026

C_{k}

-stable closure of the class of (separable) metrizable spaces

31 citations · 92 across the 50 of their papers we have counts for

collaborators

Showing 2015Show all

6 papers · 1 filter

math.FA2015

A characterization of barrelledness of $C_{p} (X)$

S. Gabriyelyan

We prove that, for a Tychonoff space $X$ , the space $C_{p} (X)$ is barrelled if and only if it is a Mackey group.

math.GN2015

An Open Mapping Theorem

S. S. Gabriyelyan, S. A. Morris

It is proved that any surjective morphism $f : Z^{κ} \to K$ onto a locally compact group $K$ is open for every cardinal $κ$ . This answers a question posed by Karl Heinrich Hof…

math.FA2015★ 1 cited

Topological properties of function spaces $C_{k} (X, 2)$ over zero-dimensional metric spaces $X$

S. Gabriyelyan

Let $X$ be a zero-dimensional metric space and $X^{'}$ its derived set. We prove the following assertions: (1) the space $C_{k} (X, 2)$ is an Ascoli space iff $C_{k} (X, 2)$ is $k_{R}$ …

math.FA2015★ 7 cited

The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces

S. Gabriyelyan, J. Kakol, G. Plebanek

Following [3] we say that a Tychonoff space $X$ is an Ascoli space if every compact subset $K$ of $C_{k} (X)$ is evenly continuous; this notion is closely related to the cla…

math.GR2015

On $T$ -characterized subgroups of compact Abelian groups

S. Gabriyelyan

We say that a subgroup $H$ of an infinite compact Abelian group $X$ is {\it $T$ -characterized} if there is a $T$ -sequence $u = {u_{n}}$ in the dual group of $X$ such that…

math.GN2015★ 4 cited

On topological properties of the weak topology of a Banach space

Saak Gabriyelyan, Jerzy Kakol, Lyubomyr Zdomskyy

Being motivated by the famous Kaplansky theorem we study various sequential properties of a Banach space $E$ and its closed unit ball $B$ , both endowed with the weak topology of $E…

A characterization of barrelledness of Cp​(X)

An Open Mapping Theorem

Topological properties of function spaces Ck​(X,2) over zero-dimensional metric spaces X

The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces

On T-characterized subgroups of compact Abelian groups

On topological properties of the weak topology of a Banach space

A characterization of barrelledness of $C_{p} (X)$

Topological properties of function spaces $C_{k} (X, 2)$ over zero-dimensional metric spaces $X$

On $T$ -characterized subgroups of compact Abelian groups