In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the ...
Let 𝑇 be a unital, continuous linear functional defined on complex Banach algebra 𝐴. First, we prove an approximate version of the Gleason-Kahane-Żelazko theorem: given ϵ > 0, there exists an 𝑀 > 0 ...
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