Note on the Curvature and Index of Almost Unitary Contraction Operator

Details Note on the Curvature and Index of Almost Unitary Contraction Operator Note on the Curvature and Index of Almost Unitary Contraction Operator

2000-07-28

arxiv.org/abs/math/0007178v2

Mathematics

Functional Analysis

3 pages

Scientific paper

In the recent preprint (OA/0006224) S. Parrott proved the equality between
the Arveson`s curvature and the Fredholm index of a "pure" contraction with
finite defect numbers. In the present note one derives a similar formula in the
"non-pure" case.

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