V. Shepelska

activity

20082018

most citedWeak amenability of weighted Orlicz algebras

3 citations · 5 across the 4 of their papers we have counts for

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math.FA2018

Norm-controlled inversion in weighted convolution algebras

Ebrahim Samei, Varvara Shepelska

Let $G$ be a discrete group, let $p \geq 1$ , and let $ω$ be a weight on $G$ . Using the approach from [9], we provide sufficient conditions on a weight $ω$ for $ℓ^{p} (G, ω)$ to be a Ba…

math.FA2017★ 3 cited

Weak amenability of weighted Orlicz algebras

Serap Öztop, Ebrahim Samei, Varvara Shepelska

Let G be a locally compact abelian group, $ω : G \to (0, \infty)$ be a weight, and ( $Φ$ , $Ψ$ ) be a complementary pair of strictly increasing continuous Young functions. We show that for…

math.FA2017★ 2 cited

Non-weakly amenable Beurling algebras

Varvara Shepelska, Yong Zhang

Weak amenability of a weighted group algebra, or a Beurling algebra, is a long-standing open problem. The commutative case has been extensively investigated and fully characterized…

math.FA2017

Central Beurling algebras: Weak amenability of the central Beurling algebras on [FC] $^{-}$ groups

Varvara Shepelska, Yong Zhang

We study weak amenability of central Beurling algebras $Z L^{1} (G, ω)$ . The investigation is a natural extension of the known work on the commutative Beurling algebra $L^{1} (G, ω)$ . For […

math.FA2008

Slicely Countably Determined Banach spaces

Antonio Aviles, Vladimir Kadets, Miguel Martin +2

We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of $ℓ_{1}$ . We present many…