Geodesic
Toeplitz operators and algebras of bounded analytic functions on the disk
Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 181-185

Voir la notice de l'article provenant de la source Cambridge University Press

Here and throughout, A is a closed subalgebra of H∞ that contains the disk algebra and M(A) denotes the maximal ideal space of A. Because A contains the function fo(z) = z, we can define the fiber Mλ(A) of M(A) for λ ε ∂D (the unit circle) in the usual way; i.e., Mλ(A) = {φ ∈ M(A): fo(φ) = λ}. The Bergman space of the unit disk D is the L2(D, dx dy)-closure of A. Let be the orthogonal projection. For f ∈ L∞(D, dx dy), define the multiplication operator Mf: L2(D, dx dy)→ L2, (D, dx dy) byand define the Toeplitz operator by 
Smith, R. C. Toeplitz operators and algebras of bounded analytic functions on the disk. Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 181-185. doi: 10.1017/S0017089500008211
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