Operator Semigroups for which Reducibility Implies Decomposability

Autor: Livshits, L., Macdonald, G., Mathes, B., Radjavi, H.
Zdroj: Positivity; September 2003, Vol. 7 Issue: 3 p195-202, 8p
Abstrakt: A description of the lattice of invariant subspaces is provided for multiplicative semigroups $$\mathcal{S}$$ of bounded operators on Lp(X,μ) which are closed under multiplication on the left or right by bounded multiplication operators. Applications are then given to semigroups of positive quasinilpotent operators.
Databáze: Supplemental Index