Journal article

Publication year: 2014

Pages: 197-217

Journal: Publicationes Mathematicae Debrecen

Volume number: 85

Issue number: 1-2

ISSN: 0033-3883

Open access status: Bronze

DOI Link: https://doi.org/10.5486/PMD.2014.5915

Publisher: Debreceni Egyetem, Matematika Intézet

Abstract: 
We apply the characterisation of the class (omega(infinity)(Lambda), omega(infinity)(Sigma)) and the fact that this is a Banach algebra to study the solvability in omega(infinity)(Lambda) of matrix equations of the form Delta X-+(rho) = B and Delta X-rho = B, where Delta(+)(rho) and Delta(p) are upper and lower triangular matrices. Finally, we obtain some results on infinite tridiagonal matrices considered as operators from omega(infinity)(Lambda) into itself, and study the solvability in omega(infinity)(Lambda) of matrix equations for tridiagonal matrices.

Harvard Citation style: De Malafosse, B. and Malkowsky, E. (2014) On the Banach algebra (ω_∞(Λ), ω_∞(Λ)) and applications to the solvability of matrix equations in ω_∞(Λ), Publicationes Mathematicae Debrecen, 85(1-2), pp. 197-217. https://doi.org/10.5486/PMD.2014.5915

APA Citation style: De Malafosse, B., & Malkowsky, E. (2014). On the Banach algebra (ω_∞(Λ), ω_∞(Λ)) and applications to the solvability of matrix equations in ω_∞(Λ). Publicationes Mathematicae Debrecen. 85(1-2), 197-217. https://doi.org/10.5486/PMD.2014.5915