Abelian Semigroups of Matrices on ℂn and Hypercyclicity

DOI10.1017/S0013091513000539zbMath1300.37019MaRDI QIDQ5419402

Adlene Ayadi, Habib Marzougui

Publication date: 6 June 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

semigrouporbitmatricesdense orbithypercyclicabelian

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Algebraic systems of matrices (15A30) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (6)

On supercyclicity for abelian semigroups of matrices on ℝ^n ⋮ Minimality and non-existence of non-zero finite orbits for abelian linear semigroups ⋮ Dynamical classification for complex matrices ⋮ Subspace-hypercyclic abelian semigroups of matrices on \(\mathbb{R}^n\) ⋮ Subspace-hypercyclic abelian linear semigroups ⋮ Hypercyclic abelian semigroups of affine maps on \(\mathbb{C}^{n}\)

Cites Work

• Adjacency matrices of probe interval graphs
• Linear chaos
• Topological generators of Abelian Lie groups and hypercyclic finitely generated Abelian semigroups of matrices
• On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple
• Hypercyclic tuples of operators and somewhere dense orbits
• DENSE ORBITS FOR ABELIAN SUBGROUPS OF GL(n, ℂ)
• Hypercyclic tuples of operators on ℂⁿand ℝⁿ
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