3 papers
math.FA2024
Products of Idempotents in Banach Algebras of Operators
Surender K. Jain, André Leroy, Ajit Iqbal Singh
Let be a Banach space and be the Banach algebra of bounded (i.e. continuous) linear transformations (to be called operators) on to itself. Let $\mathcal…
math.RA2024
Scalar products and Left LCD codes
Nabil Bennenni, André Leroy
In this article, we introduce new scalar products over finite rings via additive isomorphisms. This allows us to define new notions of right (respectively left) orthogonal codes, t…
math.RA2024
Decomposition of matrices into product of idempotents and separativity of regular rings
S. K. Jain, A. Leroy
Following O'Meara's result [Journal of Algebra and Its Applications Vol~\textbf{13}, No. 8 (2014)], it follows that the block matrix $A=\begin{pmatrix} B & 0 0 & 0 \end{pmatrix} \i…