Inverse and implicit function theorems for noncommutative functions on operator domains
Inverse and implicit function theorems for noncommutative functions on operator domains
Classically, a noncommutative function is defined on a graded domain of tuples of square matrices. In this note, we introduce a notion of a noncommutative function defined on a domain Ω⊂B(H)d, where H is an infinite dimensional Hilbert space. Inverse and implicit function theorems in this setting are established. When …