Operator semigroups for which reducibility implies ...



Title Operator semigroups for which reducibility implies decomposability
Author(s) L. Livshits, Gordon W. MacDonald, B. Mathes, H. Radjavi
Journal Positivity
Date 2003
Volume 7
Issue 3
Start page 195
End page 202
Abstract A description of the lattice of invariant subspaces is provided for multiplicative semigroups S of bounded operators on L-p(X, mu) which are closed under multiplication on the left or right by bounded multiplication operators. Applications are then given to semigroups of positive quasinilpotent operators.

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