On some numerical characteristics of operators

DOI10.1016/j.ajmsc.2014.05.001zbMath1318.47046OpenAlexW2061467765MaRDI QIDQ486128

Suna Saltan, Mubariz T. Garayev, Mehmet Gürdal, Ulaş Yamancı

Publication date: 14 January 2015

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2014.05.001

zbMATH Keywords

numerical rangeToeplitz operatornormal operatorBerezin symbolBerezin numbermaximal Berezin setmaximal numerical range

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (6)

REVERSE INEQUALITIES FOR THE BEREZIN NUMBER OF OPERATORS ⋮ Distance estimates, norm of Hankel operators and related questions ⋮ Cebysev’s type inequalities and power inequalities for the Berezin number of operators ⋮ Normal shape and numerical range of a real 2-Toeplitz tridiagonal matrix ⋮ Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications ⋮ Reproducing kernels, Engliš algebras and some applications

Cites Work

• Quasinormality and numerical ranges of certain classes of dual Toeplitz operators
• The numerical range of Toeplitz operator on the polydisk
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• Derivations of operator algebras
• Derivations of \(W^ *\)-algebras
• Derivations of simple \(C^ *\)-algebras
• Exposed points in spaces of bounded analytic functions
• The norm of a derivation
• Numerical ranges of radial Toeplitz operators on Bergman space
• The Numerical Range of a Toeplitz Operator
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