Bishop's property (beta) for tensor product tuples of operators

Authors
Wolff, R
Citation
R. Wolff, Bishop's property (beta) for tensor product tuples of operators, J OPER THEO, 42(2), 1999, pp. 371-377
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF OPERATOR THEORY
ISSN journal
03794024 → ACNP
Volume
42
Issue
2
Year of publication
1999
Pages
371 - 377
Database
ISI
SICI code
0379-4024(199923)42:2<371:BP(FTP>2.0.ZU;2-K
Abstract
In this paper, we prove that a tensor product tuple R = (S x I, IxT) posses ses Bishop's property (beta), supposed that the commuting tuples S and T of Hilbert space operators have property (beta). As an application, we show t hat the Hardy space H-2(D-n) over the polydisc in C-n is quasicoherent.