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Operator Inequalities of the Jensen, Čebyšev and Grüss Type (SpringerBriefs in Mathematics) by Silvestru Sever Dragomir (auth.) is a nonfiction available to read on EtoBox.

What is Operator Inequalities of the Jensen, Čebyšev and Grüss Type (SpringerBriefs in Mathematics) about?

The main aim of this book is to present recent results concerning inequalities of the Jensen, Čebyšev and Grüss type for continuous functions of bounded selfadjoint operators on complex Hilbert spaces. In the introductory chapter, the author portrays fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. The generalized Schwarz's inequality for positive selfadjoint operators as well as some results for the spectrum of this class of operators are presented. This text introduces the reader to the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators as well as the step functions of selfadjoint operators. The spectral decomposition for this class of operators, which play a central role in the rest of the book and its consequences are introduced. At the end of the chapter, some classical operator inequalities are presented as well. Recent new results that deal with different aspects of the famous Jensen operator inequality are explored through the second chapter. These include but are not limited to the operator version of the Dragomir-Ionescu inequality, the Slater type inequalities for operators and it

Who reads Operator Inequalities of the Jensen, Čebyšev and Grüss Type (SpringerBriefs in Mathematics)?

Author

Silvestru Sever Dragomir (auth.)

Publisher

Springer-Verlag New York

Published

2011

Language

EN

ISBN

9781461415213

Category

nonfiction

Subjects

Mathematics, Science, Stem