Hypercyclic algebras

2018/04/05 by Bayart, Frédéric
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1804.01730

Abstract

We prove the existence of algebras of hypercyclic vectors in three cases: convolution operators, composition operators, and backward shift operators.

Related

• Common hypercyclic algebras for families of products of backward shifts
• Algebrability of the set of hypercyclic vectors for backward shift\n operators
• Baire theorem and hypercyclic algebras
• Hypercyclic Algebras for convolution operators of unimodular constant term
• Algebrable sets of hypercyclic vectors for convolution operators