Berezin symbol and invertibility of operators on the functional Hilbert spaces

By M. Karaev. 2006

135 citations recorded by the source corpus.

Abstract 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.

Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/1fd8e654d1269d9b779570b802b70839a0ca6a05

Citations in the corpus

• Improvements of Berezin number inequalities (2018, unknown): “set and Berezin number of the operator A are defined by Ber(A) := {Ã(λ) : λ ∈ Ω} and ber(A) := sup{|Ã(λ)| : λ ∈ Ω}, respectively,(see [10]).”
• Some Berezin Number Inequalities for Operator Matrices (2018, unknown): “Berezin set and Berezin number of operator A are defined by (see [9]) Ber(A) := { Ã(λ) : λ ∈ Ω } and ber(A) := sup { |Ã(λ)| : λ ∈ Ω } , respectively.”