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- W1503713983 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." @default.
- W1503713983 created "2016-06-24" @default.
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- W1503713983 date "2015-04-09" @default.
- W1503713983 modified "2023-09-27" @default.
- W1503713983 title "Rolewicz-type chaotic operators" @default.
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- W1503713983 doi "https://doi.org/10.48550/arxiv.1504.02445" @default.
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