STANDARD ATOMIC DECOMPOSITIONS IN HILBERT C*-MODULES

In this paper, we introduce the concept of standard atomic decomposition in the setting of Hilbert C*-modules. In addition, a class of standard atomic decompositions for countably generated Hilbert C*-modules over the C*-algebra of all compact operators on some Hilbert space is discussed. We also demonstrate standard atomic decompositions are stable under small perturbations.