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Integral Equations and Operator Theory
, Volume 5, Issue 1, pp 608631
The Arveson Extension Theorem and coanalytic models
 Jim AglerAffiliated withDepartment of Mathematics, University of Virginia
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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.
 Title
 The Arveson Extension Theorem and coanalytic models
 Journal

Integral Equations and Operator Theory
Volume 5, Issue 1 , pp 608631
 Cover Date
 198212
 DOI
 10.1007/BF01694057
 Print ISSN
 0378620X
 Online ISSN
 14208989
 Publisher
 BirkhäuserVerlag
 Additional Links
 Topics
 Authors

 Jim Agler ^{(1)}
 Author Affiliations

 1. Department of Mathematics, University of Virginia, MathAstronomy Building, Cabell Drive, 22903, Charlottesville, Virginia, USA