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arXiv · 1504.02445

Rolewicz-type chaotic operators

D. Bongiorno·U. B. Darji·L. Di Piazza
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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.

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D. Bongiorno, U. B. Darji, L. Di Piazza. 2015-04-09. Rolewicz-type chaotic operators. https://arxiv.org/abs/1504.02445

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