# Operator Semigroups for which Reducibility Implies Decomposability

Operator Semigroups for which Reducibility Implies Decomposability A description of the lattice of invariant subspaces is provided for multiplicative semigroups $$\mathcal{S}$$ of bounded operators on L p(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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# Operator Semigroups for which Reducibility Implies Decomposability

, Volume 7 (3) – Oct 4, 2004
8 pages

/lp/springer_journal/operator-semigroups-for-which-reducibility-implies-decomposability-0pO9ZNJnAJ
Publisher
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1026225630954
Publisher site
See Article on Publisher Site

### Abstract

A description of the lattice of invariant subspaces is provided for multiplicative semigroups $$\mathcal{S}$$ of bounded operators on L p(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.

### Journal

PositivitySpringer Journals

Published: Oct 4, 2004

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