Superstability of adjointable mappings on Hilbert $C^{\ast }$-modules

Michael Frank, Pasc Gavruta, Mohammad Sal Moslehian

We define the notion of $\phi$-perturbation of a densely defined adjointable mapping and prove that any such mapping $f$ between Hilbert $\mathcal{A}$-modules over a fixed $C^{\ast }$-alge…