Topological approach to unbounded operators on Hilbert \(C^*\)-modules
The author introduces a suitable topology on the closed unit ball of the space \(B(V,W)\) of all bounded adjointable operators between Hilbert \(C^*\)-modules \(V\) and \(W\) such that the map \(t \mapsto F_t=t(1+t^*t)^{-1/2}\) is a homeomorphism between unbounded regular operators \(R(V,W)\) and \(\{F\in B(V,W): \|F\|\leq 1 \text{~and~ran}(1-F^*F) \text{~is~ dense~ in~} V\}\).
scientific article; zbMATH DE number 6035437