Representations of H-infinity(D-N)

Authors
Exner, GR Jo, YS Jung, IB
Citation
Gr. Exner et al., Representations of H-infinity(D-N), J OPER THEO, 45(2), 2001, pp. 233-249
Citations number
25
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF OPERATOR THEORY
ISSN journal
03794024 → ACNP
Volume
45
Issue
2
Year of publication
2001
Pages
233 - 249
Database
ISI
SICI code
0379-4024(200121)45:2<233:ROH>2.0.ZU;2-J
Abstract
We consider dual operator algebra properties of the range of a representati on from H-infinity(D-N) into the bounded linear operators on Hilbert space. If the representation is of Coo type, properties (A(N0)) and X-0,X-1/M coi ncide, where M is the bound of the representation. Specializing to the repr esentation induced by a pair of commuting contractions, we obtain an improv ed result.