Kato's type inequalities for bounded linear operators in Hilbert spaces / Silvestru Sever Dragomir.

Intro; Preface; Contents; 1 Introduction; 2 Inequalities for n-Tuples of Operators; 2.1 Multiplicative Inequalities; 2.2 Functional Inequalities; 2.3 Inequalities for the Euclidian Norm; 2.4 Inequalities for s-1-Norm and s-1-Numerical Radius; 2.5 Additive Inequalities; 2.6 Inequalities for Functions of Normal Operators; 2.7 Applications for the Euclidian Norm; 2.8 Applications for s-1-Norm and s-1-Numerical Radius; 2.9 Other Additive Inequalities; 2.10 Other Inequalities for Functions of Normal Operators; 2.11 Examples for the Euclidian Norm

2.12 Examples for s-1-Norm and s-1-Numerical Radius3 Generalizations of Furuta's Type; 3.1 Furuta's Inequality; 3.2 Functional Generalizations; 3.3 Some Examples; 3.4 More Functional Inequalities; 3.5 Applications for Some Elementary Functions; 3.6 General Vector Inequalities; 3.7 Norm and Numerical Radius Inequalities; 4 Trace Inequalities; 4.1 Trace of Operators; 4.2 Trace Inequalities via Kato's Result; 4.3 Some Functional Properties; 4.4 Inequalities for Sequences of Operators; 4.5 Inequalities for Power Series of Operators; 5 Integral Inequalities; 5.1 Some Facts on Bochner Integral

5.2 Applications of Kato's Inequality5.3 Norm and Numerical Radius Inequalities; 5.4 Applications for the Operator Exponential; References