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Rank of Truncated Toeplitz Operators

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We establish concrete rank formulas for a class of finite rank truncated Toeplitz operators on the model spaces $$K^2_u:= H^2 \ominus uH^2$$Ku2:=H2⊖uH2 in terms of their symbol functions. We also… Click to show full abstract

We establish concrete rank formulas for a class of finite rank truncated Toeplitz operators on the model spaces $$K^2_u:= H^2 \ominus uH^2$$Ku2:=H2⊖uH2 in terms of their symbol functions. We also establish some rank inequalities for truncated Toeplitz operators on finite dimensional model spaces.

Keywords: rank truncated; toeplitz operators; truncated toeplitz

Journal Title: Complex Analysis and Operator Theory
Year Published: 2017

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