Criteria for Toeplitz Operators on the Sphere
نویسنده
چکیده
Let H(S) be the Hardy space on the unit sphere S in C. We show that a set of inner functions Λ is sufficient for the purpose of determining which A ∈ B(H(S)) is a Toeplitz operator if and only if the multiplication operators {Mu : u ∈ Λ} on L(S, dσ) generate the von Neumann algebra {Mf : f ∈ L∞(S, dσ)}.
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تاریخ انتشار 2010