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arxiv: 1611.02741 · v1 · pith:6N7YCU5Wnew · submitted 2016-11-03 · 🧮 math.FA

Quadratic Weighted Geometric Mean in Hermitian Unital Banach Star-Algebras

classification 🧮 math.FA
keywords meanbanachelementsgeometrichermitianquadraticunitalweighted
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In this paper we introduce the quadratic weighted geometric mean for invertible elements x, y in a Hermitian unital Banach star-algebra and provide some inequalities for this mean under various assumptions for the elements involved.

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