Certain properties of normaloid operators
Abstract
In this paper we establish new conditions for contractivity of normaloid operators. We employ some results for contractivity due to Furuta, Nakomoto, Arandelovic and Dragomir. A particular generalization is also given.
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References
Arandelovic I.D., Contractive linear operators and their applications in F-cone metric fixed point theory, Int. J. math. Analysis, Vol.4, no.41, (2010), 2005-2015.
Bonyo J.O., Adicka D.O., Agure J.O., Generalized Numerical Radii inequality for Hilbert space operators, Int. Math. Forum, Vol.3, no.7, (2011), 333-338.
Dragomir S.S., Some inequalities for normal operators in Hilbert space, j. Operator theory, Vol.3, (2005), 11-23.
Furuta T., Nakamoto R., Certain Numerical Contractive Operators, American math.soc,(1970), 521-523.
Kittaneh F., Norms inequalities for certain operator sums j.Functional Analysis, Vol. 143, (1997), 337-348.
Peterson B., Contraction mapping, Math 507-summer, (1999), 1-8.
Seddick A., The injective norm of ∑_(i=1)^n▒A_i ⊗B_i and characterization of normaloid operators, j. Operators and matrices, Vol.2, no.1, (2008), 67-77.
Sheth I.H., Normaloid operators, Pacific j. Math. Vol.28, no.3, (1969), 675-680.
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