Decomposition of infinite matrices into products of commutators of involutions

DOI10.1016/j.laa.2018.11.001zbMath1405.15021OpenAlexW2900348820MaRDI QIDQ1713311

Xin Hou

Publication date: 24 January 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.11.001

zbMATH Keywords

infinite matricestriangular matricescommutators of involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Other matrix groups over rings (20H25) Other matrix groups over fields (20H20)

Related Items

Products of commutators of symplectic involutions ⋮ Decompositions of matrices over division algebras into products of commutators ⋮ Every real symplectic matrix is a product of real symplectic involutions ⋮ Involution widths of skew linear groups generated by involutions ⋮ A certain decomposition of infinite invertible matrices over division algebras ⋮ Decomposition of symplectic matrices into products of commutators of symplectic involutions ⋮ Unnamed Item ⋮ Every real symplectic matrix is a product of commutators of real symplectic involutions ⋮ Expressing upper triangular matrices as products of commutators of finite order elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commutator subgroup of Vershik-Kerov group.
• Products of two involutions with prescribed eigenvalues and some applications
• Decomposition of matrices into three involutions
• Products of involutions
• Products of two involutory matrices over skewfields
• Decomposition of matrices into commutators of involutions
• Expressing infinite matrices as products of involutions
• Expressing infinite matrices over rings as products of involutions
• Product of two involutions