s-Topological vector spaces

Authors

  • M. Khan Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
  • S. Azam Punjab Education Department, Pakistan
  • S. Bosan Punjab Education Department, Pakistan
Abstract:

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 an s-topological vector space. A homomorphism between s-topological vector spaces is semi-continuous if it is s-continuous at the identity.

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Journal title

volume 04  issue 02

pages  153- 158

publication date 2015-05-01

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