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A model for some analytic Toeplitz operators. (English) Zbl 0766.47007
Let \(G\) be a bounded plane domain, \(f\in H^ \infty(G)\) a nonconstant function, \(\Omega=f(G)\), and \(T_ f\) the multiplication by \(f\) acting on the Hardy space \(H^ p(G)\), \(1\leq p<\infty\). Using a change of variable method, the author gives some sufficient conditions such that the operator \(T_ f\) is isometrically equivalent to a bundle shift over \(\Omega\), and some applications on essential spectra.
Reviewer: B.D.Khanh (Paris)
MSC:
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
47A15 Invariant subspaces of linear operators
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