FROM LOCAL TO GLOBAL TRIANGULARIZATION

Authors
RADJAVI H ROSENTHAL P
Citation
H. Radjavi et P. Rosenthal, FROM LOCAL TO GLOBAL TRIANGULARIZATION, Journal of functional analysis, 147(2), 1997, pp. 443-456
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
147
Issue
2
Year of publication
1997
Pages
443 - 456
Database
ISI
SICI code
0022-1236(1997)147:2<443:FLTGT>2.0.ZU;2-S
Abstract
It is shown that a semigroup of Shatten p-class operators is simultane ously triangularizable if each pair of operators in the semigroup is t riangularizable. Several sufficient conditions for triangularizability of semigroups are obtained as corollaries. A ''block triangularizatio n'' theorem for algebras of compact operators is established, conseque nces of which include a number of necessary and sufficient conditions for triangularization of such algebras. (C) 1997 Academic Press.