On supercyclicity for abelian semigroups of matrices on ℝ^n

Abstract

We give a complete characterization of supercylicity for abelian semigroups of matrices on R n , n 1. We solve the problem of determining the minimal number of matrices over R which form a supercyclic abelian semigroup on R n. In particular, we show that no abelian semigroup generated by n−1 2 matrices on R n can be supercyclic. ([ ] denotes the integer part). This answers a question raised by the second author in [H.

Corrigendum to: On supercyclicity for abelian semigroups of matrices on ℝ^n Oper. Matrices 12 (2018), no. 3, 855-865

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In this note we present corrected versions of some results in [1], due to an error in Lemma 3.6 of [1]. We also provide changes in the proof of Proposition 4.6.

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