Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591656 | Journal of Functional Analysis | 2011 | 16 Pages |
Abstract
We establish a short exact sequence to relate the germ model of invariant subspaces of a Hilbert space of vector-valued analytic functions and the sheaf model of the corresponding coinvariant subspaces. As a consequence we obtain an additive formula for Samuel multiplicities. As an application, we give a different proof for a formula relating the fibre dimension and the Samuel multiplicity which is first proved in Fang (2005) [11], . The feature of the new proof is that the analytic arguments in Fang (2005) [11] are now subsumed by algebraic machinery.
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Physical Sciences and Engineering
Mathematics
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