s-topological vector spaces
نویسندگان
چکیده
in this paper, we have de ned and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are de ned by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is an s-topological vector space. a homomorphism betweens-topological vector spaces is semi-continuous if it is s-continuous at the identity.
منابع مشابه
s-Topological vector spaces
In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...
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عنوان ژورنال:
journal of linear and topological algebra (jlta)جلد ۴، شماره ۰۲، صفحات ۱۵۳-۱۵۸
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