Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592193 | Journal of Functional Analysis | 2010 | 22 Pages |
Abstract
In this paper, we consider the well-known transitive algebra problem and reductive algebra problem on vector valued reproducing analytic Hilbert spaces. For an analytic Hilbert space H(k) with complete Nevanlinna–Pick kernel k, it is shown that both transitive algebra problem and reductive algebra problem on multiplier invariant subspaces of H(k)⊗Cm have positive answer if the algebras contain all analytic multiplication operators. This extends several known results on the problems.
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Physical Sciences and Engineering
Mathematics
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