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

نویسنده

  • Jin-Xuan Fang School of Mathematical Science, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China
چکیده مقاله:

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.

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local bases with stratified structure in $i$-topological vector spaces

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.

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عنوان ژورنال

دوره 7  شماره 2

صفحات  83- 93

تاریخ انتشار 2010-06-06

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