Leonid Zelenko
University of Haifa
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Featured researches published by Leonid Zelenko.
Integral Equations and Operator Theory | 1999
Jonathan Arazy; Leonid Zelenko
AbstractWe study finite-dimensional perturbationsA+γB of a self-adjoint operatorA acting in a Hilbert space
Archive | 2000
Victor Khatskevich; Leonid Zelenko
Archive | 2014
Vladimir Rovenski; Leonid Zelenko
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arXiv: Differential Geometry | 2015
Vladimir Rovenski; Leonid Zelenko
Journal of Geometry and Physics | 2018
Vladimir Rovenski; Leonid Zelenko
. We obtain asymptotic estimates of eigenvalues of the operatorA+γB in a gap of the spectrum of the operatorA as γ → 0, and asymptotic estimates of their number in that gap. The results are formulated in terms of new notions of characteristic branches ofA with respect to a finite-dimensional subspace of
Archive | 2013
Vladimir Rovenski; Leonid Zelenko
Integral Equations and Operator Theory | 2006
Jonathan Arazy; Leonid Zelenko
\mathfrak{H}
Integral Equations and Operator Theory | 2004
Leonid Zelenko
arXiv: Differential Geometry | 2012
Vladimir Rovenski; Leonid Zelenko
on a gap of the spectrum σ(A) and asymptotic multiplicities of endpoints of that gap with respect to this subspace. It turns out that ifA has simple spectrum then under some mild conditions these asymptotic multiplicities are not bigger than one. We apply our results to the operator(Af)(t)=tf(t) onL2([0, 1],ρc), whereρc is the Cantor measure, and obtain the precise description of the asymptotic behavior of the eigenvalues ofA+γB in the gaps of
Integral Equations and Operator Theory | 2007
Leonid Zelenko