3 papers
math.FA2025
On the operator equation AX-XB=C
Salah Mecheri, Ahmed Bachie, A. Segress
This work studies how certain problems in quantum theory have motivated some recent research in pure Mathematics in matrix and operator theory. The mathematical key is that of a co…
math.FA2025
On the stability of the Bishop's property() under compact perturbations
Salah Mecheri
Let be the Banach algebra of all bounded linear operators acting on a Banach space . Are sums and products of commuting decomposable operators on Banach spaces decomposab…
math.FA2025
Quasisimilarity and compact perturbations
Salah Mecheri
In this paper we show that quasisimilar -tuples of tensor products of -isometric operators have the same spectra, essential spectra and indices. The properties of single Fred…