3 papers
math.GR2026
A representation of range decreasing group homomorphisms
Ning Zhang, Lifan Liu
The method of range decreasing group homomorphisms was first introduced in \cite{z23} and later generalized in \cite{z25}. This approach has proved effective for analyzing a broad…
math.FA2026
A solution to Banach conjecture
Ning Zhang
In this paper, we begin by constructing global linear maps on (n-2)-dimensional subspaces, derived from the local continuity of linear transformations among central sections of a c…
math.DG2025
Range decreasing group homomorphisms and weighted composition operators
Ning Zhang
We present necessary and sufficient conditions for a group homomorphism between spaces of smooth sections of Lie group bundles to be a weighted composition operator. These results…