Notes on some spectral radius and numerical radius inequalities

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

Abstrakty

EN

We prove numerical radius inequalities for products, commutators, anticommutators, and sums of Hilbert space operators. A spectral radius inequality for sums of commuting operators is also given. Our results improve earlier well-known results.

Kategorie tematyczne

• 47A30: Norms (inequalities, more than one norm, etc.)
• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 47A63: Operator inequalities
• 47A12: Numerical range, numerical radius

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 227
• Numer: 2
• Strony: 97-109

Daty

wydano

2015

Twórcy

autor

Amer Abu-Omar

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

autor

Fuad Kittaneh

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

Identyfikatory

DOI

10.4064/sm227-2-1