Bibliographic Details
| Title: |
Topologically transitive semigroup actions of real linear fractional transformations |
| Authors: |
Javaheri, Mohammad1 Mohammad.Javaheri@trincoll.edu |
| Source: |
Journal of Mathematical Analysis & Applications. Aug2010, Vol. 368 Issue 2, p587-603. 17p. |
| Subjects: |
Topology, Semigroups (Algebra), Linear differential equations, Fractions, Mathematical analysis, Functional analysis, Group actions (Mathematics) |
| Abstract: |
Abstract: Let , where I is a proper closed subinterval of . Our main goal in this paper is to describe all such that the action of the semigroup generated by f and g is topologically transitive on I. We also prove that this action is never weakly topologically mixing. Finally, we describe all pairs of affine functions on whose generated semigroup action is weakly topologically mixing. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
