Note on the Curvature and Index of Almost Unitary Contraction Operator
Functional Analysis
2007-05-23 v2 Operator Algebras
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.
Cite
@article{arxiv.math/0007178,
title = {Note on the Curvature and Index of Almost Unitary Contraction Operator},
author = {R. N. Levy},
journal= {arXiv preprint arXiv:math/0007178},
year = {2007}
}
Comments
3 pages