Operator Semigroups for which Reducibility Implies Decomposability
Autor: | Livshits, L., Macdonald, G., Mathes, B., Radjavi, H. |
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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 |
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