Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589946 | Journal of Functional Analysis | 2015 | 32 Pages |
Abstract
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 results to study dependence of the solution of the initial value problem for ODEs in noncommutative spaces on the initial data and to extremal problems with noncommutative constraints.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gulnara Abduvalieva, Dmitry S. Kaliuzhnyi-Verbovetskyi,