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Lp-Spaces for C*-Algebras with a State

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Abstract

We present here a construction of noncommutative L p-spaces for a C *-algebrawith respect to a state on the algebra. Their properties are deduced fromwell-established properties of corresponding Haagerup and Kosaki spaces. Twoexamples are considered.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Łódź, Łódź, Poland

    Stanislaw Goldstein

  2. Faculty of Mathematics, Mechanics and Computer Science, Hanoi National University, Hanoi, Vietnam

    Phan Viet Thu

Authors
  1. Stanislaw Goldstein
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  2. Phan Viet Thu
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Goldstein, S., Thu, P.V. Lp-Spaces for C*-Algebras with a State. International Journal of Theoretical Physics 39, 687–693 (2000). https://doi.org/10.1023/A:1003646006449

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  • DOI: https://doi.org/10.1023/A:1003646006449

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