Some Inequalities of Kato Type for Sequences of Operators in Hilbert Spaces

Abstract

By the use of the celebrated Kato inequality we obtain some new inequalities for $n$-tuples of bounded linear operators on a complex Hilbert space $H$: Natural applications for functions defined by power series of normal operators as well as different inequalities concerning the Euclidean norm, the Euclidean radius, the $s$-1-norms and the $s$-1-radius of an n-tuple of operators are given as well.