Note on the Curvature and Index of Almost Unitary Contraction Operator

2000/07/28 by R. N. Levy, Levy, R. N.
Mathematics · #47A20 #47A53 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:47A20 #msc:47A53

paper · pdf · doi:10.48550/arxiv.math/0007178

3 pages

arxiv created 2000/12/04 · arxiv updated 2009/11/30

Abstract

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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