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We show that linear chaos in the space $c(\mathbb{N})$ of convergentsequences cannot be arrived at by merely extending the weighted backward shiftsin the space $c_0(\mathbb{N})$ of vanishing sequences. Applying a newly foundsufficient condition for linear chaos, we furnish concise proofs of thechaoticity of the foregoing operators along with their powers and also itemizetheir spectral structure. We further construct bounded and unbounded linearchaotic operators in $c(\mathbb{N})$ as conjugate to the chaotic backwardshifts in $c_0(\mathbb{Z}_+)$ via a homeomorphic isomorphism between the twospaces.

On linear chaos in the space of convergent sequences