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s-topological vector spaces
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نویسنده
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khan moiz ud din ,azam s. ,bosan m. s.
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منبع
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journal of linear and topological algebra - 2015 - دوره : 4 - شماره : 2 - صفحه:153 -158
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چکیده
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In this paper, we have defined and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are defined by using semiopen sets and semicontinuity 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 an s-topological vector space. a homomorphism between s-topological vector spaces is semicontinuous if it is scontinuous at the identity.
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کلیدواژه
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s-topological vector space ,semi-open set ,semi-closed set ,semi-continuous mapping ,s-continuous mapping ,left (right) translation ,generalized homeomorphism ,generalized homogeneous space
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آدرس
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comsats institute of information technology, department of mathematics, pakistan, punjab education department, pakistan, punjab education department, pakistan
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Authors
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