$(α,β)$ -A-Normal Operators in Semi-Hilbertian Spaces

preprint2016arXivOpen access

In this paper we introduce and prove some properties of $(α;β)$ -normal operators according to semi-Hilbertian space structures. Furthermore we s,ate various inequalities between the A-operator norm and A-numerical radius of $(α,β)$ -normal operators in semi Hilbertian spaces.

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$(α,β)$ -A-Normal Operators in Semi-Hilbertian Spaces

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$(α,β)$ -A-Normal Operators in Semi-Hilbertian Spaces