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Numerical Ranges of C( N) Contractions.

Numerical Ranges of C( N) Contractions.

Authors :
Benhida, Chafiq
Gorkin, Pamela
Timotin, Dan
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