A numerical radius inequality involving the generalized Aluthge transform

• Autorzy: Amer Abu Omar , Fuad Kittaneh
• Języki publikacji: EN

Abstrakty

EN

A spectral radius inequality is given. An application of this inequality to prove a numerical radius inequality that involves the generalized Aluthge transform is also provided. Our results improve earlier results by Kittaneh and Yamazaki.

Kategorie tematyczne

• 47A30: Norms (inequalities, more than one norm, etc.)
• 47B49: Transformers, preservers (operators on spaces of operators)
• 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory
• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 47A63: Operator inequalities
• 47A12: Numerical range, numerical radius
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 1
• Strony: 69-75

Daty

wydano

2013

Twórcy

autor

Amer Abu Omar

• Department of Basic Sciences and Mathematics, Philadelphia University, Amman, Jordan

autor

Fuad Kittaneh

• Department of Mathematics, University of Jordan, Amman, Jordan

Identyfikatory

DOI

10.4064/sm216-1-5