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Inequalities for Some Operator and Matrix Functions

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Inequalities

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Abstract

In this note we generalize an inequality on determinants (Corollary 3 below) recently proved by Seiler and Simon [1] in connection with some estimates in quantum field theory. Our main result is Lemma 1.

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References

  1. E. Seiler and B. Simon, An inequality among determinants, Proc. Nat. Acad. Sci. U.S.A. 72 (1975), 3277–3278.

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Author information

Authors and Affiliations

  1. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey, 08540, USA

    Elliott H. Lieb

Authors
  1. Elliott H. Lieb
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Editor information

Editors and Affiliations

  1. School of Mathematics, Georgia Tech, Atlanta, GA, 30332-0160, USA

    Michael Loss

  2. Department of Mathematics, University of Massachusetts Lowell, Lowell, MA, 01854, USA

    Mary Beth Ruskai

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© 2002 Springer-Verlag Berlin Heidelberg

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Lieb, E.H. (2002). Inequalities for Some Operator and Matrix Functions. In: Loss, M., Ruskai, M.B. (eds) Inequalities. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55925-9_15

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  • DOI: https://doi.org/10.1007/978-3-642-55925-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62758-3

  • Online ISBN: 978-3-642-55925-9

  • eBook Packages: Springer Book Archive

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