38 citations · 43 across the 15 of their papers we have counts for
Showing math.OAShow all
2 papers · 1 filter
math.OA2015
Implicit/inverse function theorems for free noncommutative functions
Gulnara Abduvalieva, Dmitry S. Kaliuzhnyi-Verbovetskyi
We prove an implicit function theorem and an inverse function theorem for free noncommutative functions over operator spaces and on the set of nilpotent matrices. We apply these re…
math.OA2012
Foundations of Free Noncommutative Function Theory
Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov
The goal of this work is to develop, in a systematic way and in a full natural generality, the foundations of a theory of functions of (free) noncommuting variables.