Results 11 to 20 of about 374,962 (187)
Skew-symmetric and essentially unitary operators via Berezin symbols [PDF]
Open Mathematics, 2020 We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla +3 more
doaj +2 more sources
Toeplitz operators with BMO symbols and the Berezin transform [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol
Nina Zorboska
doaj +3 more sources
Invariant subspaces of operators via Berezin symbols and Duhamel product
Turkish Journal of Mathematics, 2023 : The Berezin symbol ˜ A of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel k λ is defined ...
M. Garayev
semanticscholar +2 more sources
On the summability methods of logarithmic type and the Berezin symbol
TURKISH JOURNAL OF MATHEMATICS, 2018 We prove by means of the Berezin symbols some theorems for the (L) -summability method for sequences and series. Also, we prove a new Tauberian type theorem for (L) -summability.
U. Yamancı
semanticscholar +4 more sources
Semi-classical properties of Berezin–Toeplitz operators with Ck-symbol [PDF]
Journal of Mathematical Physics, 2013 We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with Ck-symbol on a symplectic manifold. We also give a semi-classical estimate of the distance of a Toeplitz operator to the space of self-adjoint and multiplication ...
T. Barron +3 more
semanticscholar +6 more sources
Berezin Symbols on Lie Groups [PDF]
, 2016 In this paper we present a general framework for Berezin covariant symbols, and we discuss a few basic properties of the corresponding symbol map, with emphasis on its injectivity in connection with some problems in representation theory of nilpotent Lie
I. Beltiţă, D. Beltiţă, B. Cahen
semanticscholar +3 more sources
Berezin symbol and invertibility of operators on the functional Hilbert spaces
Journal of Functional Analysis, 2006 We give in terms of reproducing kernel and Berezin symbol the sufficient conditions ensuring the invertibility of some linear bounded operators on some functional Hilbert spaces.
M. Karaev
semanticscholar +4 more sources
Applications of Berezin symbols in summability theory and related problems
FilomatIn this article, using the reproducing kernel and Berezin symbol techniques we prove that a sequence is Ces?ro convergent, then it is Abel convergent. We prove criteria for Borel convergence of some sequences and series of complex numbers.
U. Yamancı +2 more
semanticscholar +2 more sources
Berezin symbols and some problems on the Dirichlet space
Indian Journal of Pure and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
U. Yamancı
semanticscholar +3 more sources
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators [PDF]
Journal of Spectral Theory, 2022 This paper proves a probabilistic Weyl-law for the spectrum of randomly perturbed Berezin-Toeplitz operators, generalizing a result proven by Martin Vogel in 2020.
Izak Oltman
semanticscholar +1 more source