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The Hájek-Rényi Type Inequality for Tracial States in a Von Neumann Algebra

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Transactions of the Tenth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 10A-B))

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Abstract

A non-commutative version of the Hájek-Rényi inequality is given. This result plays a similar role in the theory of limit theorems in von Neumann algebras as the Hájek-Rényi inequality does in the classical case, namely, it simplifies the proofs of some strong laws of large numbers.

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References

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Authors and Affiliations

  1. Institute of Mathematics, University of Łódź, ul. Banacha 22, 90-238, Łódź, Poland

    Ewa Hensz

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  1. Ewa Hensz
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Jan Ámos Višek

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© 1988 Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Hensz, E. (1988). The Hájek-Rényi Type Inequality for Tracial States in a Von Neumann Algebra. In: Višek, J.Á. (eds) Transactions of the Tenth Prague Conference. Czechoslovak Academy of Sciences, vol 10A-B. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3859-5_39

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  • DOI: https://doi.org/10.1007/978-94-009-3859-5_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8216-7

  • Online ISBN: 978-94-009-3859-5

  • eBook Packages: Springer Book Archive

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