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

  • Silvestru Sever Dragomir
Book

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

Introduction

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.

Keywords

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

  • DOI https://doi.org/10.1007/978-3-030-17459-0
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-17458-3
  • Online ISBN 978-3-030-17459-0
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site