THE ABSTRACT GLIDING HUMP PROPERTIES AND APPLICATIONS

Source abstract

In this paper, by using the section mappings, we introduce the abstract strong gliding hump property and the 0-gliding hump property in dual pair $\lt E,F \gt$, and show that the gliding hump properties can substitute the $AK$-property of the dual spaces for the characterizions of the barrelledness of normed spaces.