# modular space

Let $\rho$ be a modular on a real or complex vector space $X$. Then the subspace

 $X_{\rho}:=\{x\in X:\lim_{\lambda\rightarrow 0}\rho(\lambda x)=0\}$

of $X$ is called the modular space corresponding to the modular $\rho$.

Title modular space ModularSpace 2013-03-22 16:15:53 2013-03-22 16:15:53 gilbert_51126 (14238) gilbert_51126 (14238) 6 gilbert_51126 (14238) Definition msc 46-00