Authors construct an isometrically isomorphic Hardy space on the unit circle for bounded operator-valued functions using SOT-measurable elements with integrable norms, connected via the strong Poisson integral.
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Circle companions of Hardy spaces of the unit disk
Authors construct an isometrically isomorphic Hardy space on the unit circle for bounded operator-valued functions using SOT-measurable elements with integrable norms, connected via the strong Poisson integral.