CELLULAR-INDECOMPOSABLE SUBNORMAL-OPERATORS-III

Authors
OLIN RF THOMSON JE
Citation
Rf. Olin et Je. Thomson, CELLULAR-INDECOMPOSABLE SUBNORMAL-OPERATORS-III, Integral equations and operator theory, 29(1), 1997, pp. 116-121
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
29
Issue
1
Year of publication
1997
Pages
116 - 121
Database
ISI
SICI code
0378-620X(1997)29:1<116:CS>2.0.ZU;2-E
Abstract
A bounded operator T is called cellular-indecomposable if L boolean AN D M not equal {0} whenever L and M are nonzero invariant subspaces for T. We prove that a cyclic subnormal operator is cellular-indecomposab le if and only if it is quasi-similar to an analytic Toeplitz operator whose symbol is a weak-star generator of H-infinity. This completes o ur previous work [5], [6].