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Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

In this introductory chapter we present some fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces that are used throughout the book. Some famous inequalities due to Berger, Holbrook, Fong and Holbrook and Bouldin are given. More recent results obtained by Kittaneh, El-Haddad and Kittanek and Yamazaki are provided as well.

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Authors and Affiliations

  1. College of Engineering and Science, Victoria University, Melbourne, Australia

    Silvestru Sever Dragomir

  2. School of Computational and Applied Mathematics, University of the Withwatersrand Braamfontein, Johannesburg, South Africa

    Silvestru Sever Dragomir

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  1. Silvestru Sever Dragomir
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© 2013 Silvestru Sever Dragomir

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Dragomir, S.S. (2013). Introduction. In: Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-01448-7_1

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