Genre
- Journal Article
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.
Colby Coll, Dept Math, Waterville, ME 04901 USA. Univ Prince Edward Isl, Dept Math & CS, Charlottetown, PE C1A 4P3, Canada. Dalhousie Univ, Dept Math Stat & Comp Sci, Halifax, NS B3H 3J3, Canada.; Livshits, L, Colby Coll, Dept Math, Waterville, (TRUNCATED)
DORDRECHT; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
KLUWER ACADEMIC PUBL
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Source type: Electronic(1)
Language
- English
Subjects
- POSITIVE OPERATORS
- reducible
- quasinilpotent
- invariant subspaces
- positive
- Mathematics
- semigroup
- operator
- decomposable