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Inner functions and Toeplitz operators. (English) Zbl 0792.47029
Summary: We give characterizations of Toeplitz operators on generalized \(H^ 2\) spaces and derive some properties of the corresponding Toeplitz algebras. The proofs depend essentially on having a “sufficient” supply of inner functions.

MSC:
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47C15 Linear operators in \(C^*\)- or von Neumann algebras
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
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