Search Results - "Gabriyelyan, Saak"

Local completeness of Ck(X) by Gabriyelyan, Saak

“…Answering a long-standing open problem we characterize locally complete spaces C k ( X ) , where C k ( X ) denotes the space of all real-valued continuous…”
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Locally Convex Spaces with Sequential Dunford–Pettis Type Properties by Gabriyelyan, Saak

“…Let p,q,q′∈[1,∞], q′≤q. Several new characterizations of locally convex spaces with the sequential Dunford–Pettis property of order (p,q) are given. We…”
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Limited type subsets of locally convex spaces by Gabriyelyan, Saak

“…Let $ 1\leq p\leq q\leq\infty. $ Being motivated by the classical notions of limited, $ p $-limited, and coarse $ p $-limited subsets of a Banach space, we…”
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A locally quasi-convex abelian group without a Mackey group topology by GABRIYELYAN, SAAK

“…We give the first example of a locally quasi-convex (even countable reflexive and k_\omega ) abelian group G which does not admit the strongest compatible…”
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Ascoli’s theorem for pseudocompact spaces by Gabriyelyan, Saak

“…A Tychonoff space X is called ( sequentially ) Ascoli if every compact subset (resp. convergent sequence) of C k ( X ) is equicontinuous, where C k ( X )…”
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Topological properties of strict (LF)-spaces and strong duals of Montel strict (LF)-spaces by Gabriyelyan, Saak

“…Following Banakh and Gabriyelyan (Monatshefte Math 180:39–64, 2016 ), a Tychonoff space X is Ascoli if every compact subset of C k ( X ) is equicontinuous. By…”
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Topological properties of inductive limits of closed towers of metrizable groups by Gabriyelyan, Saak

“…Let { G n } n ∈ ω be a closed tower of metrizable groups. Under a mild condition called ( GC ) and which is strictly weaker than PTA condition introduced by…”
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Normed Spaces Which Are Not Mackey Groups by Gabriyelyan, Saak

“…It is well known that every normed (even quasibarrelled) space is a Mackey space. However, in the more general realm of locally quasi-convex abelian groups an…”
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The Mackey problem for free abelian topological groups by Gabriyelyan, Saak

“…The classical Mackey–Arens theorem states that every locally convex space has a Mackey space topology. However, in the wider class of locally quasi-convex…”
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Bounded sets structure of CpX and quasi‐(DF)‐spaces by Ferrando, Juan Carlos, Gabriyelyan, Saak, Ka̧kol, Jerzy

“…For wide classes of locally convex spaces, in particular, for the space Cp(X) of continuous real‐valued functions on a Tychonoff space X equipped with the…”
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Dunford–Pettis type properties and the Grothendieck property for function spaces by Gabriyelyan, Saak, Ka̧kol, Jerzy

“…For a Tychonoff space X , let C k ( X ) and C p ( X ) be the spaces of real-valued continuous functions C ( X ) on X endowed with the compact-open topology and…”
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On T-Characterized Subgroups of Compact Abelian Groups by Gabriyelyan, Saak

“…A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on…”
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Positive definite functions and dual pairs of locally convex spaces by Alpay, Daniel, Gabriyelyan, Saak

“…Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we…”
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Free Subspaces of Free Locally Convex Spaces by Gabriyelyan, Saak S., Morris, Sidney A.

“…If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether…”
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Dunford–Pettis type properties and the Grothendieck property for function spaces by Gabriyelyan, Saak, Ka̧kol, Jerzy

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Gelfand–Phillips Type Properties of Locally Convex Spaces by Gabriyelyan, Saak

“…We let 1≤p≤q≤∞. Being motivated by the classical notions of the Gelfand–Phillips property and the (coarse) Gelfand–Phillips property of order p of Banach…”
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Local completeness of $$C_{k}(X) by Gabriyelyan, Saak

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Free topological vector spaces by Gabriyelyan, Saak S., Morris, Sidney A.

“…In this paper the free topological vector space V(X) over a Tychonoff space X is defined and studied. It is proved that V(X) is a kω-space if and only if X is…”
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Gelfand--Phillips type properties of locally convex spaces by Gabriyelyan, Saak

“…Let $1\leq p\leq q\leq\infty.$ Being motivated by the classical notions of the Gelfand--Phillips property and the (coarse) Gelfand--Phillips property of order…”
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Weakly and weak$^\ast$ $p$-convergent operators by Gabriyelyan, Saak

“…Let $p\in[1,\infty]$. Being motivated by weakly $p$-convergent and weak$^\ast$ $p$-convergent operators between Banach spaces introduced by Fourie and Zeekoei,…”
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