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Sponsored AI AM CLAUDE, A Beginner's Guide: Learn the basics of working with AI AI AM CLAUDE, A Beginner's Guide: Learn the basics of working with AI

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Álvaro Rocha

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Open access Sep 2026

Existence of Hypercyclic Algebras in Fréchet Algebras

We prove that every separable infinite-dimensional Fréchet algebra X admits a continuous linear operator T supporting a dense invariant hypercyclic algebra, giving an affirmative answer to a question of Bayart, Costa Jr. and Papathanasiou. In fact, every dense countable-dimensional subalgebra A\documentclass[12pt]{mini...

Fernando Costa, Álvaro Rocha · 0 citations

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