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Asymptotic Properties for Positive and Toeplitz Matrices and Operators

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Linear Operators in Function Spaces

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 43))

Abstract

In this paper it is presented an elementary method to obtain some asymptotic properties for certain classes of positive definite matrices and operators. This method is based, besides the Cauchy — Schwarz inequality, on the following inequality for positive operators.

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References

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Author information

Authors and Affiliations

  1. Department of Physics, State University of Odessa, USSR

    V. M. Adamjan

Authors
  1. V. M. Adamjan
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Editor information

Editors and Affiliations

  1. Department of Mathematics, INCREST, Bd. Păcii 220, 79622, Bucharest, Romania

    H. Helson , B. Sz.-Nagy  & F.-H. Vasilescu ,  & 

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© 1990 Birkhäuser Verlag Basel

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Adamjan, V.M. (1990). Asymptotic Properties for Positive and Toeplitz Matrices and Operators. In: Helson, H., Sz.-Nagy, B., Vasilescu, FH., Arsene, G. (eds) Linear Operators in Function Spaces. Operator Theory: Advances and Applications, vol 43. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7250-8_1

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  • DOI: https://doi.org/10.1007/978-3-0348-7250-8_1

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7252-2

  • Online ISBN: 978-3-0348-7250-8

  • eBook Packages: Springer Book Archive

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