FA26

From Exampleproblems

Jump to: navigation, search

Let \left\{\beta_n\right\}\, be a sequence of real numbers such that \sum_{n=1}^\infty \alpha_n\beta_n\, is convergent for every \left\{\alpha_n\right\}\isin l^1\,. Use the Uniform Boundedness theorem to prove that \left\{\beta_n\right\} \isin l^\infty\,.

Retrieved from "http://www.exampleproblems.com/wiki/index.php/FA26"
Personal tools

Get A Wifi Network Switcher Widget for Android