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6 - Non-orthogonal Beurling–Lax Representations Based on Wandering Subspaces

Published online by Cambridge University Press:  09 December 2021

Joseph A. Ball
Affiliation:
Virginia Tech
Vladimir Bolotnikov
Affiliation:
College of William and Mary, Virginia
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Summary

Chapter 6 deals with two flavors of Beurling–Lax representations which have been studied in the context of Bergman spaces: (i) a Beurling–Lax-type representation based on the shift-invariant subspace being generated by a so-called quasi-wandering subspace, and (ii) a Beurling–Lax representation based on the shift-invariant subspace being generated (but non-orthogonally) by its canonically defined wandering subspace.

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Publisher: Cambridge University Press
Print publication year: 2021

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