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