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# The Curvature Invariant of a Hilbert Module Over

@inproceedings{Arveson1999TheCI, title={The Curvature Invariant of a Hilbert Module Over}, author={William Arveson}, year={1999} }

- Published 1999

A notion of curvature is introduced in multivariable operator theory, that is, for commuting d tuples of operators acting on a common Hilbert space whose “rank” is finite in an appropriate sense. The curvature invariant is a real number in the interval [0, r] where r is the rank, and for good reason it is desireable to know its value. For example, there are significant and concrete consequences when it assumes either of the two extreme values 0 or r. In the few simple cases where it can be… CONTINUE READING

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