31 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU15 papers
- Sobolev Institute of MathematicsRU5 papers
- Nankai UniversityCN3 papers
- Southern Federal UniversityRU3 papers
- Altai State Technical UniversityRU2 papers
- National Research Nuclear University MEPhIRU2 papers
- North Ossetian State UniversityRU2 papers
- Siberian Branch of the Russian Academy of SciencesRU2 papers
- University of YorkGB2 papers
- Bauman Moscow State Technical UniversityRU1 paper
- Capital Normal UniversityCN1 paper
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX1 paper
31 papers
Norms of generalized derivations with values in symmetric spaces
J. Huang, M. Pliev, F. Sukochev +1
Let be the -algebra of all bounded linear operators on a Hilbert space . A classical result due to Stamplfi shows that, for any ,…
Inverse problem for wave equation of memory type with acoustic boundary conditions: Global solvability
Zhanna D. Totieva, Kush Kinra, Manil T. Mohan
In this article, we study the one-dimensional inverse problem of determining the memory kernel by the integral overdetermination condition for the direct problem of finding the vel…
On face angles of tetrahedra with a given base
E. V. Nikitenko, Yu. G. Nikonorov
Let us consider the set of all tetrahedra with a given non-degenerate base in and lying outside the plane . Let us denote by…
On geodesic orbit nilmanifolds
Yu. G. Nikonorov
The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphi…
The extreme polygons for the self Chebyshev radius of the boundary
Evgenii V. Nikitenko, Yurii G. Nikonorov
The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a g…
Stone--Weierstrass Approximation Revisited
A. G. Kusraev, S. S. Kutateladze
The aim of the present article is to extend the Stone--Weierstrass theorem to functions ranging in a lattice normed space and order rather than topological approximation. We procee…
Some extremal problems for polygons in the Euclidean plane
Yu. G. Nikonorov, O. Yu. Nikonorova
The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations…
Properties of a curve whose convex hull covers a given convex body
Yurii Nikonorov
In this note, we prove the following inequality for the norm of a convex body in , : $N(K) \leq \frac{π^{\frac{n-1}{2}}}{2 Γ\left(\frac{n+1}{2}\right)}\c…
Extreme problems for convex curves with given relative Chebyshev radius
Vitor Balestro, Horst Martini, Yurii Nikonorov +1
The paper is devoted to some extremal problems for convex curves and polygons in the Euclidean plane referring to the relative Chebyshev radius. In particular, we determine the rel…
Two Applications of Boolean Valued Analysis
A. G. Kusraev, S. S. Kutateladze
The paper contains two main results that are obtained by Boolean valued analysis. The first asserts that a universally complete vector lattice without locally one-dimensional bands…
Algebraic properties of bounded Killing vector fields
Ming Xu, Yu. G. Nikonorov
In this paper, we consider a connected Riemannian manifold where a connected Lie group acts effectively and isometrically. Assume defines…
Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols
A. A. Batalshchikov, S. M. Grudsky, I. S. Malisheva +3
This paper is devoted to the asymptotic behavior of all eigenvalues of Symmetric (in general non Hermitian) Toeplitz matrices with moderately smooth symbols which trace out a simpl…
Spectral properties of Killing vector fields of constant length
Yu. G. Nikonorov
This paper is devoted to the study of properties of Killing vector fields of constant length on Riemannian manifolds. If is a Lie algebra of Killing vector fields on…
On the stability of the Couette-Taylor flow between rotating porous cylinders with radial flow
Konstantin Ilin, Andrey Morgulis
We study the stability of the Couette-Taylor flow between porous cylinders with radial throughflow. It had been shown earlier that this flow can be unstable with respect to non-axi…
Geodesic Orbit Riemannian Structures on
Carolyn S. Gordon, Yuriĭ G. Nikonorov
A geodesic orbit manifold is a complete Riemannian manifold all of whose geodesics are orbits of one-parameter groups of isometries. We give both a geometric and an algebraic chara…
On homogeneous geodesics and weakly symmetric spaces
V. N. Berestovskii, Yu. G. Nikonorov
In this paper, we establish a sufficient condition for a geodesic in a Riemannian manifold to be homogeneous, i.e. an orbit of an -parameter isometry group. As an application of…
On invariant Riemannian metrics on Ledger-Obata spaces
Y. Nikolayevsky, Yu. G. Nikonorov
We study invariant metrics on Ledger-Obata spaces . We give the classification and an explicit construction of all naturally reductive metrics, and also show…
Geodesic orbit Riemannian spaces with two isotropy summands. I
Zhiqi Chen, Yu. G. Nikonorov
The paper is devoted to the study of geodesic orbit Riemannian spaces that could be characterize by the property that any geodesic is an orbit of a 1-parameter group of isometries.…
On left-invariant Einstein Riemannian metrics that are not geodesic orbit
Yu. G. Nikonorov
In this paper we prove that the compact Lie group admits a left-invariant Einstein metric that is not geodesic orbit. In order to prove the required assertion, we develop som…
Invariant Einstein metrics on Ledger-Obata spaces
Zhiqi Chen, Yuriĭ Nikonorov, Yulia Nikonorova
In this paper, we study invariant Einstein metrics on Ledger-Obata spaces . In particular, we classify invariant Einstein metrics on $F^4/\operatorname{…
Invariant Einstein metrics on generalized Wallach spaces
Zhiqi Chen, Yu. G. Nikonorov
Invariant Einstein metrics on generalized Wallach spaces have been classified except . In this paper, we give a survey on the study of inva…
Narrow Orthogonally Additive Operators on Lattice-Normed Spaces
Xiao Chun Fang, Marat Pliev
The aim of this article is to extend results of M.~Popov and second named author about orthogonally additive narrow operators on vector lattices. The main object of our investigati…
Domination Problem for Narrow Orthogonally Additive Operators
Marat A. Pliev
The "Up-and-down" theorem which describes the structure of the Boolean algebra of fragments of a linear positive operator is the well known result of the operator theory. We prove…
Quasidifferentials in Kantorovich Spaces
E. K. Basaeva, A. G. Kusraev, S. S. Kutateladze
This is an overview of the quasidifferential calculus for the mappings that arrive at Kantorovich spaces. The necessary optimality conditions are also derived for multiple criteria…