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math.FA2021
Polyak's theorem on Hilbert spaces
Maximiliano Contino, Guillermina Fongi, Santiago Muro
We extend to infinite dimensional Hilbert spaces a celebrated result, due to B. Polyak, about the convexity of the joint image of quadratic functions. We give sufficient conditions…
math.FA2021
Multiple recurrence and hypercyclicity
Rodrigo Cardeccia, Santiago Muro
We study multiply recurrent and hypercyclic operators as a special case of -hypercyclicity, where is the family of subsets of the natural numbers containin…