Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces

Beschreibung

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.
The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.
Presents 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 to try and extend Kato's inequality for semi-inner products in Banach spaces Shows clear applications for numerical radius and norm inequalities to give the readers the possibility to compare them with other similar results Gives extensions of Kato's inequality for functions of operators that will allow scientists to look for extensions to more general functional calculus than the continuous functional calculus

Autor*in

Silvestru Sever Dragomir

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Furuta's inequality Hilbert-Schmidt operators trace operators Bochner integral Banach spaces Operator exponential Numerical Radius inequality Norm inequality

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