Finite-dimensional invariant subspaces for measurable semigroups of linear operators
β Scribed by Anthony T.M Lau; James C.S Wong
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 674 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
269 305) that a semigroup of matrices is triangularizable if the ranks of all the commutators of elements of the semigroup are at most 1. Our main theorem is an extension of this result to semigroups of algebraic operators on a Banach space. We also obtain a related theorem for a pair [A, B] of arbi
We prove uniqueness of "invariant measures," i.e., solutions to the equation L \* Β΅ = 0 where L = β + B β’ β on R n with B satisfying some mild integrability conditions and Β΅ being a probability measure on R n . This solves an open problem posed by S. R. S. Varadhan in 1980. The same conditions are s