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Algebras of Log-Integrable Functions and Operators

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Abstract

We show that certain spaces of \(\log \)-integrable functions and operators are complete topological \(*\)-algebras with respect to a natural metric space structure. We explore connections with the Nevanlinna class of holomorphic functions.

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Acknowledgments

The authors thank Laszlo Lempert, Mieczysław Mastyło and Alexis Poltoratski for helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, USA

    Ken Dykema

  2. School of Mathematics and Statistics, University of New South Wales, Kensington, NSW, Australia

    Fedor Sukochev & Dmitriy Zanin

Authors
  1. Ken Dykema
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  2. Fedor Sukochev
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  3. Dmitriy Zanin
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Corresponding author

Correspondence to Ken Dykema.

Additional information

Communicated by Hari Bercovici.

Ken Dykema research supported in part by NSF grant DMS–1202660. Fedor Sukochev and Dmitriy Zanin research supported by ARC.

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Dykema, K., Sukochev, F. & Zanin, D. Algebras of Log-Integrable Functions and Operators. Complex Anal. Oper. Theory 10, 1775–1787 (2016). https://doi.org/10.1007/s11785-016-0569-9

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  • DOI: https://doi.org/10.1007/s11785-016-0569-9

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