ONE-PARAMETER GROUPS OF BOEHMIANS

Title & Authors
ONE-PARAMETER GROUPS OF BOEHMIANS
Nemzer, Dennis;

Abstract
The space of periodic Boehmians with $\small{\Delta}$-convergence is a complete topological algebra which is not locally convex. A family of Boehmians $\small{\{T_\lambda\}}$ such that $\small{T_0}$ is the identity and $\small{T_{\lambda_1+\lambda_2}=T_\lambda_1*T_\lambda_2}$ for all real numbers $\small{\lambda_1}$ and $\small{\lambda_2}$ is called a one-parameter group of Boehmians. We show that if $\small{\{T_\lambda\}}$ is strongly continuous at zero, then $\small{\{T_\lambda\}}$ has an exponential representation. We also obtain some results concerning the infinitesimal generator for $\small{\{T_\lambda\}}$.
Keywords
infinitesimal generator;one-parameter group;periodic Boehmian;
Language
English
Cited by
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