Abstract
We develop techniques which allow one to describe in simple terms the set of operators on Hilbert space of the form M* (∞) |M, where M is multiplication by z on a Hilbert space of analytic functions satisfying certain technical assumptions, M* (∞) is the direct sum of a countably infinite number of copies of M*, andM is invariant for M* (∞). One of the main ingredients in our technique is the Arveson Extension Theorem and this paper illustrates the great power and tractability of that theorem in a concrete setting.
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Research partially supported by NSF grant MCS 81-02518
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Agler, J. The Arveson Extension Theorem and coanalytic models. Integr equ oper theory 5, 608–631 (1982). https://doi.org/10.1007/BF01694057
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DOI: https://doi.org/10.1007/BF01694057