Weak-Star Closed Algebras and Generalized Bergman Kernels
Copyright policy )Weak-Star Closed Algebras and Generalized Bergman Kernels
In this paper we will characterize the weak-star closed algebra A \mathcal {A} generated by the canonical model associated with a generalized Bergman kernel defined on a domain G G in the plane, whose spectrum is a spectral set. In fact, A \mathcal {A} equals the space H ∞ ( G 0 ) {H^\infty }\left ( {{G_0}} \right ) of all bounded analytic functions on an appropriate set G 0 {G_0} containing G G .
Spectral sets of linear operators, canonical model, spectral set, Subnormal operators, hyponormal operators, etc., weak-star closed algebra, generalized Bergman kernel
Spectral sets of linear operators, canonical model, spectral set, Subnormal operators, hyponormal operators, etc., weak-star closed algebra, generalized Bergman kernel
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