V. N. Karazin Kharkiv National University

output

19952026

most citedAncient human genomes suggest three ancestral populations for present-day Europeans

1.5k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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35 papers · 1 filter

math.FA2024

Strong Law of Large Numbers for Random Sets in Banach spaces

V. Kadets, O. Zavarzina

The Strong Law of Large Numbers (SLLN) for random variables or random vectors with different mathematical expectations easily reduces by means of shifts to SLLN for random variable…

math.FA2022★ 1 cited

Closed linear spaces consisting of strongly norm attaining Lipschitz mappings

Vladimir Kadets, Óscar Roldán

Given a pointed metric space $M$ , we study when there exist $n$ -dimensional linear subspaces of $Lip_{0} (M)$ consisting of strongly norm-attaining Lipschitz functional…

math.FA2021

Banach actions preserving unconditional convergence

Taras Banakh, Vladimir Kadets

Let $A, X, Y$ be Banach spaces and $A \times X \to Y$ , $(a, x) \mapsto a x$ , be a continuous bilinear function, called a *Banach action*. We say that this action *preserves unconditional…

math.FA2021★ 1 cited

Connection between the Riemann integrability of a multi-valued function and of its convex hull

Vladimir Kadets, Artur Kulykov, Olha Shevchenko

For a Banach space $X$ we demonstrate the equivalence of the following two properties: (1) $X$ is B-convex (that is, possesses a nontrivial infratype), and (2) if ${F: [0,1] \to 2^…

math.FA2020★ 9 cited

The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

Vladimir Kadets

We demonstrate the result stated in the title, thus answering an open question asked by Julio Becerra Guerrero, Ginés López-Pérez and Abraham Rueda Zoca in J. Conv. Anal. \textbf{2…

math.FA2020

Modulus support functionals, Rajchman measures and peak functions

L. Golinskii, V. Kadets

In 2000 V. Lomonosov suggested a counterexample to the complex version of the Bishop-Phelps theorem on modulus support functionals. We discuss the $c_{0}$ -analog of that example and…

math.FA2018★ 8 cited

There is no operatorwise version of the Bishop-Phelps-Bollobás property

Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim +2

Given two real Banach spaces $X$ and $Y$ with dimensions greater than one, it is shown that there is a sequence ${T_{n}}_{n \in N}$ of norm attaining norm-one operators fro…

math.FA2018★ 1 cited

Non-expansive bijections, uniformities and polyhedral faces

Carlos Angosto, Vladimir Kadets, Olesia Zavarzina

We extend the result of B. Cascales at al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit ball is the union of all its…

math.FA2017★ 1 cited

Non-expansive bijections to the unit ball of $ℓ_{1}$ -sum of strictly convex Banach spaces

Vladimir Kadets, Olesia Zavarzina

Extending recent results by Cascales, Kadets, Orihuela and Wingler (2016), Kadets and Zavarzina (2017), and Zavarzina (2017) we demonstrate that for every Banach space $X$ and ever…

math.FA2017★ 8 cited

Equivalent norms with an extremely nonlineable set of norm attaining functionals

Vladimir Kadets, Gines Lopez Perez, Miguel Martin +1

We present a construction that enables one to find Banach spaces $X$ whose sets $N A (X)$ of norm attaining functionals do not contain two-dimensional subspaces and such that, conseq…

math.FA2017★ 11 cited

On the pointwise Bishop--Phelps--Bollobás property for operators

Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim +2

We study approximation of operators between Banach spaces $X$ and $Y$ that nearly attain their norms in a given point by operators that attain their norms at the same point. When s…

math.FA2017★ 11 cited

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

Olesia Zavarzina

It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $ℓ_{1}$ , then every non-expansive bijection $F : B_{M} \to B_{M}$ is an isometry.…

math.FA2017★ 8 cited

Some geometric properties of Read's space

Vladimir Kadets, Gines Lopez, Miguel Martin

We study geometric properties of the Banach space $R$ constructed recently by C.~Read (arXiv 1307.7958) which does not contain proximinal subspaces of finite codimension…

math.FA2017★ 22 cited

Spear operators between Banach spaces

Vladimir Kadets, Miguel Martin, Javier Meri +1

The aim of this manuscript is to study \emph{spear operators}: bounded linear operators $G$ between Banach spaces $X$ and $Y$ satisfying that for every other bounded linear operato…

math.FA2016★ 5 cited

Chebyshev centers that are not farthest points

Debmalya Sain, Vladimir Kadets, Kallol Paul +1

In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals t…

math.FA2016★ 6 cited

Baire theorem for ideals of sets

A. Avilés, V. Kadets, A. Pérez +1

We study ideals $I$ on $N$ satisfying the following Baire-type property: if $X$ is a complete metric space and ${X_{A} : A \in I}$ is a family…

math.FA2016★ 32 cited

Norm attaining Lipschitz functionals

Vladimir Kadets, Miguel Martin, Mariia Soloviova

We prove that for a given Banach space $X$ , the subset of norm attaining Lipschitz functionals in $Lip_{0} (X)$ is weakly dense but not strongly dense. Then we introduce a we…

math.FA2014★ 3 cited

Two refinements of the Bishop-Phelps-Bollobás modulus

Mario Chica, Vladimir Kadets, Miguel Martin +2

Extending the celebrated result by Bishop and Phelps that the set of norm attaining functionals is always dense in the topological dual of a Banach space, Bollobás proved the nowad…

math.FA2014★ 13 cited

Lipschitz slices and the Daugavet equation for Lipschitz operators

Vladimir Kadets, Miguel Martin, Javier Meri +1

We introduce a substitute for the concept of slice for the case of non-linear Lipschitz functionals and transfer to the non-linear case some results about the Daugavet and the alte…

math.FA2014

The truncated matrix trigonometric moment problem with an open gap

Sergey M. Zagorodnyuk

This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, \textbf{63}, no. 6, 786-797, and Ukrai…

math.FA2013

Isomorphic Schauder decompositions in certain Banach spaces

Vitalii Marchenko

We extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces. To this end we…

math.FA2013★ 39 cited

The Bishop-Phelps-Bollobás moduli of a Banach space

Mario Chica, Vladimir Kadets, Miguel Martin +2

We introduce two Bishop-Phelps-Bollobás moduli which measure, for a given Banach space, what is the best possible Bishop-Phelps-Bollobás theorem in this space. We show that there i…

math.FA2012★ 61 cited

Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces

Vladimir Kadets, Miguel Martin

We prove that an onto isometry between unit spheres of finite-dimensional polyhedral Banach spaces extends to a linear isometry of the corresponding spaces.

math.FA2010★ 11 cited

On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum

Sergey M. Zagorodnyuk

In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space $H$ to have a three-diagonal complex symmetric matrix with non-zero ele…

Strong Law of Large Numbers for Random Sets in Banach spaces

Closed linear spaces consisting of strongly norm attaining Lipschitz mappings

Banach actions preserving unconditional convergence

Connection between the Riemann integrability of a multi-valued function and of its convex hull

The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

Modulus support functionals, Rajchman measures and peak functions

There is no operatorwise version of the Bishop-Phelps-Bollobás property

Non-expansive bijections, uniformities and polyhedral faces

Non-expansive bijections to the unit ball of ℓ1​-sum of strictly convex Banach spaces

Equivalent norms with an extremely nonlineable set of norm attaining functionals

On the pointwise Bishop--Phelps--Bollobás property for operators

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

Some geometric properties of Read's space

Spear operators between Banach spaces

Chebyshev centers that are not farthest points

Baire theorem for ideals of sets

Norm attaining Lipschitz functionals

Two refinements of the Bishop-Phelps-Bollobás modulus

Lipschitz slices and the Daugavet equation for Lipschitz operators

The truncated matrix trigonometric moment problem with an open gap

Isomorphic Schauder decompositions in certain Banach spaces

The Bishop-Phelps-Bollobás moduli of a Banach space

Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces

On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum

Non-expansive bijections to the unit ball of $ℓ_{1}$ -sum of strictly convex Banach spaces