Logarithms and exponentials in the matrix algebra \({\mathcal M}_2(A)\)

DOI10.1007/s40315-017-0209-zzbMath1412.30145OpenAlexW2726067750MaRDI QIDQ1745951

Rudolf Rupp, Raymond Mortini

Publication date: 18 April 2018

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-017-0209-z

zbMATH Keywords

commutative Banach algebramatrix algebramatrix exponentialsdisc algebralogarithms of matrices

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of continuous functions, function algebras (46J10) Matrices over function rings in one or more variables (15A54) Matrix exponential and similar functions of matrices (15A16) Algebras of analytic functions of one complex variable (30H50)

Related Items (5)

Exponential factorizations of holomorphic maps ⋮ Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings ⋮ On exponential factorizations of matrices over Banach algebras ⋮ On holomorphic matrices on bordered Riemann surfaces ⋮ Unipotent factorization of vector bundle automorphisms

Uses Software

• MathOverflow

Cites Work

• A note on some uniform algebra generated by smooth functions in the plane
• Commutators and companion matrices over rings of stable rank 1
• Formulas for powers and functions of matrices
• Logarithms and exponentials in Banach algebras
• Stable rank of rings and dimensionality of topological spaces
• Stable Rank of the Disc Algebra
• Some explicit formulas for the matrix exponential
• A Course in Commutative Banach Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Logarithms and exponentials in the matrix algebra \({\mathcal M}_2(A)\)