Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Berezin number inequalities in terms of Specht's
View through CrossRef
Smooth functions are associated with operators on Hilbert spaces of analytic functions through the Berezin transform. The Berezin symbol and the Berezin number of an operator A on the Hilbert functional space H(Ω) over some set Ω with the reproducing kernel are defined, respectively, by A ̃(μ)=〈A K_μ/K_μ ,K_μ/K_μ 〉,μ∈Ω and ber(A)=sup┬(μ∈Ω)|A ̃(μ)|. By using this bounded function A ̃, we present some new Berezin number inequalities of Hilbert functional space operators. Some inequalities with respect to Specht's ratio are improved and generalized. Using these modifications, we also establish various new inequalities for the Berezin radius and Berezin norm of operators.
El-Cezeri: Journal of Science and Engineering
Title: Berezin number inequalities in terms of Specht's
Description:
Smooth functions are associated with operators on Hilbert spaces of analytic functions through the Berezin transform.
The Berezin symbol and the Berezin number of an operator A on the Hilbert functional space H(Ω) over some set Ω with the reproducing kernel are defined, respectively, by A ̃(μ)=〈A K_μ/K_μ ,K_μ/K_μ 〉,μ∈Ω and ber(A)=sup┬(μ∈Ω)|A ̃(μ)|.
By using this bounded function A ̃, we present some new Berezin number inequalities of Hilbert functional space operators.
Some inequalities with respect to Specht's ratio are improved and generalized.
Using these modifications, we also establish various new inequalities for the Berezin radius and Berezin norm of operators.
Related Results
On Berezin norm and Berezin number inequalities for sum of operators
On Berezin norm and Berezin number inequalities for sum of operators
Abstract
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a ...
Convolutions for Berezin quantization and Berezin-Lieb inequalities
Convolutions for Berezin quantization and Berezin-Lieb inequalities
Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for...
Some applications of Berezin θ-sequences and Berezin symbols
Some applications of Berezin θ-sequences and Berezin symbols
We consider the so-called Berezin ?-sequence, where ? is an operator valued
inner function, for operators on the vector valued Hardy space H2E (D), and
study the invertibilit...
Bell inequalities for device-independent protocols
Bell inequalities for device-independent protocols
The technological era that we live in is sometimes described as the Information Age. Colossal amounts of data are generated every day and considerable effort is put into creating t...
Skew-symmetric and essentially unitary operators via Berezin symbols
Skew-symmetric and essentially unitary operators via Berezin symbols
AbstractWe characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetri...
Mental health inequalities and mental health nursing
Mental health inequalities and mental health nursing
Accessible summary
Current research clearly shows that mental health problems occur more frequently in some social groups than others. These inequalities in mental health affect p...
Our dear Ilya Vasilyevich Berezin
Our dear Ilya Vasilyevich Berezin
The book is dedicated to the 100th anniversary of Ilya Vasilyevich Berezin, an outstanding scientist and organizer of science, Corresponding Member of the USSR Academy of Sciences,...
Ambulance service recognition of health inequalities and activities for reduction: An evidence and gap map of the published literature
Ambulance service recognition of health inequalities and activities for reduction: An evidence and gap map of the published literature
Background: Emergency medical services (EMS) are often patients’ first point of contact for urgent and emergency care needs. Patients are triaged over the phone and may receive an ...