A note on a diffeomorphism between two Banach spaces
Marek Galewski, Elzbieta Galewska, Ewa Schmeidel
TL;DR
This paper establishes conditions under which a mapping between two Banach spaces is guaranteed to be a diffeomorphism, aiding in understanding the structure of such mappings.
Contribution
It offers new sufficient conditions for a mapping between Banach spaces to be a diffeomorphism, expanding theoretical understanding.
Findings
Provided sufficient conditions for diffeomorphisms between Banach spaces
Enhanced theoretical framework for analyzing mappings in functional analysis
Potential applications in nonlinear analysis and differential equations
Abstract
We provide sufficient conditions for a mapping acting between two Banach spaces to be a diffeomorphism.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Nonlinear Partial Differential Equations · Advanced Differential Equations and Dynamical Systems