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

  • Silvestru Sever Dragomir

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-x
  2. Silvestru Sever Dragomir
    Pages 1-3
  3. Silvestru Sever Dragomir
    Pages 5-59
  4. Silvestru Sever Dragomir
    Pages 61-86
  5. Silvestru Sever Dragomir
    Pages 87-108
  6. Silvestru Sever Dragomir
    Pages 109-124
  7. Back Matter
    Pages 125-126

About this book


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.


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

Authors and affiliations

  • Silvestru Sever Dragomir
    • 1
  1. 1.Department of Mathematics, College of Engineering and ScienceVictoria UniversityMelbourneAustralia

Bibliographic information

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