Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495546 | Journal of Functional Analysis | 2005 | 16 Pages |
Abstract
We show that, under mild conditions, a semigroup of non-negative operators on Lp(X,μ) (for 1⩽p<â) of the form scalar plus compact is triangularizable via standard subspaces if and only if each operator in the semigroup is individually triangularizable via standard subspaces. Also, in the case of operators of the form identity plus trace class we show that triangularizability via standard subspaces is equivalent to the submultiplicativity of a certain function on the semigroup.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gordon MacDonald, Heydar Radjavi,