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Unbounded Toeplitz operators and finite rank de Branges-Rovnyak spaces

math.FA · 2026-05-18 · unverdicted · novelty 7.0

The paper generalizes Sarason's work by characterizing finite-rank H(B) spaces via adjoints of Toeplitz operators T_φ^* and gives norm formulas plus criteria for H^∞ inclusion in H(B) based on boundary behavior of I - BB^*.

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  • Unbounded Toeplitz operators and finite rank de Branges-Rovnyak spaces math.FA · 2026-05-18 · unverdicted · none · ref 10

    The paper generalizes Sarason's work by characterizing finite-rank H(B) spaces via adjoints of Toeplitz operators T_φ^* and gives norm formulas plus criteria for H^∞ inclusion in H(B) based on boundary behavior of I - BB^*.