Biswas, Shibananda and Misra, Gadadhar and Putinar, Mihai (2012) Unitary invariants for Hilbert modules of finite rank. In: Journal für die Reine und Angewandte Mathematik (Crelle's Journal), 662 . pp. 165-204.Full text not available from this repository.
We associate a sheaf model to a class of Hilbert modules satisfying a natural finiteness condition. It is obtained as the dual to a linear system of Hermitian vector spaces (in the sense of Grothendieck). A refined notion of curvature is derived from this construction leading to a new unitary invariant for the Hilbert module. A division problem with bounds, originating in Douady's privilege, is related to this framework. A series of concrete computations illustrate the abstract concepts of the paper.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||13 Apr 2012 09:07|
|Last Modified:||13 Apr 2012 09:07|
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