Weak-star closed algebras and generalized Bergman kernels
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- by Karim Seddighi PDF
- Proc. Amer. Math. Soc. 90 (1984), 233-239 Request permission
Abstract:
In this paper we will characterize the weak-star closed algebra $\mathcal {A}$ generated by the canonical model associated with a generalized Bergman kernel defined on a domain $G$ in the plane, whose spectrum is a spectral set. In fact, $\mathcal {A}$ equals the space ${H^\infty }\left ( {{G_0}} \right )$ of all bounded analytic functions on an appropriate set ${G_0}$ containing $G$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 233-239
- MSC: Primary 47B38; Secondary 30C40, 46E20, 46J15, 47A25, 47C05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727240-7
- MathSciNet review: 727240