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BL
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| Record Number
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861674
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| Main Entry
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Dragomir, Sever Silvestru
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| Title & Author
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Kato's type inequalities for bounded linear operators in Hilbert spaces /\ Silvestru Sever Dragomir.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2019]
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| Series Statement
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SpringerBriefs in mathematics,
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| Page. NO
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1 online resource
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| ISBN
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303017459X
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: 9783030174590
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9783030174583
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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
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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
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5.2 Applications of Kato's Inequality5.3 Norm and Numerical Radius Inequalities; 5.4 Applications for the Operator Exponential; References
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| Abstract
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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.--
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| Subject
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Hilbert space.
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Linear operators.
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| Subject
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Hilbert space.
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| Subject
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Linear operators.
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| Subject
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MATHEMATICS-- Calculus.
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| Subject
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MATHEMATICS-- Mathematical Analysis.
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| Dewey Classification
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515.733
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| LC Classification
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QA322.4
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