Files and links (1)
SubmittedOpen Access (License Unspecified), Open
Journal article
Implicit/inverse function theorems for free noncommutative functions
Journal of functional analysis, v 269(9), pp 2813-2844
01 Nov 2015
Featured in Collection : UN Sustainable Development Goals @ Drexel
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. (C) 2015 Elsevier Inc. All rights reserved.
Metrics
Details
- Title
- Implicit/inverse function theorems for free noncommutative functions
- Creators
- Gulnara Abduvalieva - Drexel UniversityDmitry S. Kaliuzhnyi-Verbovetskyi - Drexel University
- Publication Details
- Journal of functional analysis, v 269(9), pp 2813-2844
- Publisher
- Elsevier
- Number of pages
- 32
- Grant note
- DMS0901628 / NSF; National Science Foundation (NSF) 2010432 / US-Israel BSF grant
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000361867400004
- Scopus ID
- 2-s2.0-84941260011
- Other Identifier
- 991019169523304721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics