Titlebook: Kato‘s Type Inequalities for Bounded Linear Operators in Hilbert Spaces; Silvestru Sever Dragomir Book 2019 The Author(s), under exclusive

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Introduction,We denote by . the Banach algebra of all bounded linear operators on a complex Hilbert space

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,Generalizations of Furuta’s Type,In this chapter we present a two parameter generalization of Kato due to Furuta. Applications for functions of bounded linear operators defined by power series and inequalities for four bounded operators generalizing Furuta’s inequality and provide some general . and . inequalities are given as well.

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Integral Inequalities,In this chapter, after recalling some fundamental facts on Bochner integral for measurable functions with values in Banach spaces, we provide an integral version of Kato’s inequality. Several . and . inequalities with applications for the . are also given.

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Silvestru Sever DragomirPresents recent research on Kato‘s inequality for the benefit of a large class of researchers working on operator inequalities.Provides complete proofs of the main results that will allow researchers

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Calculus

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