Abstract
The space of periodic Boehmians with <TEX>$\Delta$</TEX>-convergence is a complete topological algebra which is not locally convex. A family of Boehmians <TEX>$\{T_\lambda\}$</TEX> such that <TEX>$T_0$</TEX> is the identity and <TEX>$T_{\lambda_1+\lambda_2}=T_\lambda_1*T_\lambda_2$</TEX> for all real numbers <TEX>$\lambda_1$</TEX> and <TEX>$\lambda_2$</TEX> is called a one-parameter group of Boehmians. We show that if <TEX>$\{T_\lambda\}$</TEX> is strongly continuous at zero, then <TEX>$\{T_\lambda\}$</TEX> has an exponential representation. We also obtain some results concerning the infinitesimal generator for <TEX>$\{T_\lambda\}$</TEX>.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
