Cebysev’s type inequalities and power inequalities for the Berezin number of operators

DOI10.2298/FIL1908307GzbMath1496.47031OpenAlexW3004671429MaRDI QIDQ5080848

Ulaş Yamancı, Mubariz T. Garayev

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1908307g

zbMATH Keywords

convex functionself-adjoint operatorhyponormal operatorpositive operatorChebyshev inequalityBerezin numbersynchronous function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (4)

Inequalities involving Berezin norm and Berezin number ⋮ The weighted and the Davis-Wielandt Berezin number ⋮ Inequalities for the Berezin number of operators and related questions ⋮ Some new relations between the Berezin number and the Berezin norm of operators

Cites Work

• Reproducing kernels and Berezin symbols techniques in various questions of operator theory
• On some numerical characteristics of operators
• Theory of reproducing kernels and applications
• Inequalities for the numerical radius, the norm and the maximum of the real part of bounded linear operators in Hilbert spaces
• Notes on some inequalities for Hilbert space operators
• Hardy type inequaltiy for reproducing kernel Hilbert space operators and related problems
• On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space
• Some generalized numerical radius inequalities for Hilbert space operators
• A survey of some recent inequalities for the norm and numerical radius of operators in Hilbert spaces
• Berezin symbol and invertibility of operators on the functional Hilbert spaces
• Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators
• Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces
• On upper and lower bounds of the numerical radius and an equality condition
• Numerical radius inequalities for Hilbert space operators
• An Operator Extension of Čebyšev Inequality
• A CONCEPT OF SYNCHRONICITY ASSOCIATED WITH CONVEX FUNCTIONS IN LINEAR SPACES AND APPLICATIONS
• Berezin number inequality for convex function in reproducing Kernel Hilbert Space
• Numerical radius inequalities for Hilbert space operators. II
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Some trace inequalities of Čebyšev type for functions of operators in hilbert spaces
• Theory of Reproducing Kernels
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cebysev’s type inequalities and power inequalities for the Berezin number of operators