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Buzano's inequality in algebraic probability spaces

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We obtain a generalization of Buzano’s inequality of vectors in Hilbert spaces , using the theory of algebraic probability spaces. In particular, we extend a result of Dragomir given in… Click to show full abstract

We obtain a generalization of Buzano’s inequality of vectors in Hilbert spaces , using the theory of algebraic probability spaces. In particular, we extend a result of Dragomir given in [?]. Applications for numerical inequalities for n tuples of bounded linear operators and functions of operators defined by double power series are also generalized. Mathematics subject classification (2010): 47A05, 47A63, 46L30.

Keywords: algebraic probability; probability spaces; buzano inequality; inequality algebraic

Journal Title: Journal of Mathematical Inequalities
Year Published: 2019

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