Operator arithmetic-harmonic mean inequality on Krein spaces

AuthorsM. Dehghani, S. M. S. Modarres
JournalJ. Math. Ext.
Page number59-68
Serial number1
Volume number8
Paper TypeOriginal Research
Published At2014
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexISI

Abstract

We prove an operator arithmetic-harmonic mean type in-equality in Krein space setting, by using some block matrix techniquesof indefinite type. We also give an example which shows that the oper-ator arithmetic-geometric-harmonic mean inequality for two invertibleselfadjoint operators on Krein spaces is not valid, in general.

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