1. Rolewicz-type chaotic operators
- Author
-
Bongiorno, D., Darji, U. B., and Di Piazza, L.
- Subjects
Mathematics - Functional Analysis ,47A16, 47B37, 37B99 - Abstract
In this article we introduce a new class of Rolewicz-type operators in l_p, $1 \le p < \infty$. We exhibit a collection F of cardinality continuum of operators of this type which are chaotic and remain so under almost all finite linear combinations, provided that the linear combination has sufficiently large norm. As a corollary to our main result we also obtain that there exists a countable collection of such operators whose all finite linear combinations are chaotic provided that they have sufficiently large norm., Comment: 15 pages
- Published
- 2015