Topological Vector Spaces

International Conference on Algebra and Discrete Mathematics (ICADM-2020) on 24 to 26, June 2020, Department of Mathematics, DDE, Madurai Kamaraj University, Tamil Nadu, India. International Journal of Computer Science (IJCS) Published by SK Research Group of Companies (SKRGC)

Abstract

The aim of this paper is to introduce the class of topological vector spaces as a structure in topology, in which a vector space..... Download PDF..

References

[1] Dunham.W, “ A new closure operator for Non- -topologies, Kyungpook Math. J, 22(1) (1982), 55-60.

[2] Grothendieck.A, “Topological Vector Spaces”, Newyork: Golden and Breach Science Publishers, (1973).

[3] Khan. M.D, Azam.S and Bosan. M.S “ s-topological vector spaces”, Journal of linear and topological algebra, 4, (2015), 153-158.

[4] Khan. M.D and Iqbal.M.I, “On irresolute topological vector spaces”, Advances in Pure Mathematics, 6, (2016), 105-112.

[5] Kolmogroff.A, (1934), Zur Normierbarkeit eines topologischen linearen Raumes. Studia Mathematica, 5, 29-33. https://doi.org/10.4064/sm-5-1-29-33

[6] Levine.N, Generatized closed sets in Topology, Rend. Circ. Mat. Palermo, 19(2)(1970), 89-96.

[7] Meera Devi.B, Dinakaran.T.R, “New Sort of Mappings Via *δ- Set in Topological Spaces”, International Conference on Materials and Mathematical Sciences (ICMMS-2020), Kalasalingam Academy of Research and Education, June 19 and 20, 2020.

[8] Pious Missier.S, Annalakshmi.M and G.Mahadevan, On Regular ∗ -open sets, Global Journal of Pure and Applied mathematics Vol.13, No.9 (2017), 5717-5726.

[9] Sharma.S and Ram. M, “ On -topological vector spaces, “ Journal of Linear and Topological Algebra”, 8, (2019), 63-70.

[10] Sharma.S, Billawria.S, Ram.M and Landol.T, “On almost -topological vector spaces”, Open Access Library Journal, 6, (2019): e5408.

Keywords

open set, continuous, topological vector spaces