LOCAL BASES WITH STRATIFIED STRUCTURE IN $I$-TOPOLOGICAL VECTOR SPACES

نویسندگان
Fang, Jin-Xuan ID 1

1 School of Mathematical Science, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China

doi
10.22111/ijfs.2010.177
چکیده

In this paper, the concept of {sl local base with  stratifiedstructure} in $I$-topological vector spaces is introduced. Weprove that every $I$-topological vector space has a balanced localbase with stratified structure. Furthermore, a newcharacterization of $I$-topological vector spaces by means of thelocal base with stratified structure is given.

کلیدواژه‌ها
$I$-topological vector spaces, $Q$-neighborhood base, $W$-neighborhood base, Local base with stratified structure