V. Shepelska

activity

20082018

most citedOn the Hadwiger covering problem in low dimensions

9 citations · 14 across the 7 of their papers we have counts for

collaborators

9 papers

math.MG2018★ 9 cited

On the Hadwiger covering problem in low dimensions

A. Prymak, V. Shepelska

Let $H_{n}$ be the minimal number of smaller homothetic copies of an $n$ -dimensional convex body required to cover the whole body. Equivalently, $H_{n}$ can be defined via illumination…

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.OA2018

Twisted Orlicz algebras and complete isomorphism to operator algebras

Serap Öztop, Ebrahim Samei, Varvara Shepelska

Let G be a locally compact group, let $Ω : G \times G \to C$ be a 2-cocycle, and let ( $Φ$ , $Ψ$ ) be a complementary pair of strictly increasing continuous Young functions. It is…

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.FA2009

Thickness of the unit sphere, $ℓ_{1}$ -types, and the almost Daugavet property

Vladimir Kadets, Varvara Shepelska, Dirk Werner

We study those Banach spaces $X$ for which $S_{X}$ does not admit a finite $\eps$-net consisting of elements of $S_{X}$ for any $\eps < 2$. We give characterisations of this class of s…

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…