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arxiv: 1610.03462 · v1 · pith:AJRBS4V3new · submitted 2016-10-11 · 🧮 math.FA

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

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

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