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    A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operators

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    Date
    2013
    Author
    Labuschagne, Louis E.
    Xu, Quanhua
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    Abstract
    We formulate and establish a noncommutative version of the well known Helson–Szegö theorem about the angle between past and future for subdiagonal subalgebras. We then proceed to use this theorem to characterise the symbols of invertible Toeplitz operators on the noncommutative Hardy spaces associated to subdiagonal subalgebras.
    URI
    http://hdl.handle.net/10394/14260
    https://doi.org/10.1016/j.jfa.2013.05.015
    http://www.sciencedirect.com/science/article/pii/S0022123613001602
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    • Faculty of Natural and Agricultural Sciences [4855]

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