81 citations · 89 across the 17 of their papers we have counts for
18 papers
On the growth of resolvent of Toeplitz operators
Leonid Golinskii, Stanislas Kupin, Anna Vishnyakova
We study the growth of the resolvent of a Toeplitz operator , defined on the Hardy space, in terms of the distance to its spectrum . We are primarily interested in the…
On discrete spectra of Bergman--Toeplitz operators with harmonic symbols
Leonid Golinskii, Stanislas Kupin, Juliette Leblond +1
In the present article, we study the discrete spectrum of certain bounded Toeplitz operators with harmonic symbol on a Bergman space. Using the methods of classical perturbaton the…
On spectral properties of compact Toeplitz operators on Bergman space with logarithmically decaying symbol and applications to banded matrices
Mahamet Koita, Stanislas Kupin, Sergey Naboko +1
Let be the space of measurable square-summable functions on the unit disk. Let be the Bergman space, i.e., the (closed) subspace of analytic functions in $L^2(D…
Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene
Philippe Briet, Jean-Claude Cuenin, Leonid Golinskii +1
Combining the methods of Cuenin [2019] and Borichev-Golinskii-Kupin [2009, 2018], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effecti…
On the instability of the essential spectrum for block Jacobi matrices
Stanislas Kupin, Sergey Naboko
We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matric…
A remark on analytic Fredholm alternative
Leonid Golinskii, Stanislas Kupin
We apply a recent result of Borichev-Golinskii-Kupin on the Blaschke-type conditions for zeros of analytic functions on the complex plane with a cut along the positive semi-axis to…