On some numerical radius inequalities for normal operators in Hilbert spaces
Messaoud Guesba
Abstract
Let T be a normal bounded operator on a Hilbert space and let ω(T) denote the numerical radius of T. In this paper, we give new inequalities numerical radius of normal operatos on a Hilbert space, one of these inequalties we prove thatwhere T = T1 + iT2 the Cartesian decomposition of T and .Moreover, some other related results are also obtained.
Topics & Concepts
Hilbert spaceMathematicsBounded functionRADIUSCartesian coordinate systemOperator (biology)Mathematical analysisPure mathematicsBounded operatorGeometryComputer scienceGeneComputer securityRepressorBiochemistryTranscription factorChemistryMathematical Inequalities and ApplicationsMatrix Theory and AlgorithmsHolomorphic and Operator Theory