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arXiv · 2010.08610

Szeg\H{o} and Widom theorems for finite codimensional subalgebras of a class of uniform algebras

Douglas T. Pfeffer·Michael T. Jury
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Abstract

We establish versions of Szeg\H{o}'s distance formula and Widom's theorem on invertibility of (a family of) Toeplitz operators in a class of finite codimension subalgebras of uniform algebras, obtained by imposing a finite number of linear constraints. Each such algebra is naturally represented on a family of reproducing kernel Hilbert spaces, which play a central role in the proofs.

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Douglas T. Pfeffer, Michael T. Jury. 2020-10-16. Szeg\H{o} and Widom theorems for finite codimensional subalgebras of a class of uniform algebras. https://doi.org/10.1007/s11785-021-01129-z

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