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Numerical Ranges of C( N) Contractions.
Numerical Ranges of C( N) Contractions.
- Source :
- Integral Equations & Operator Theory; Jun2011, Vol. 70 Issue 2, p265-279, 15p
- Publication Year :
- 2011
-
Abstract
- conjecture of Halmos proved by Choi and Li states that the closure of the numerical range of a contraction on a Hilbert space is the intersection of the closure of the numerical ranges of all its unitary dilations. We show that for C( N) contractions one can restrict the intersection to a smaller family of dilations. This generalizes a finite dimensional result of Gau and Wu. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0378620X
- Volume :
- 70
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Integral Equations & Operator Theory
- Publication Type :
- Academic Journal
- Accession number :
- 60311027
- Full Text :
- https://doi.org/10.1007/s00020-010-1849-9