Topological number for locally convex topological spaces with continuous semi-norms
الموضوعات :
M. Rahimi
1
,
S. M. Vaezpour
2
1 - I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
2 - Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran
تاريخ الإرسال : 17 السبت , ذو الحجة, 1435
تاريخ التأكيد : 03 الخميس , ربيع الأول, 1436
تاريخ الإصدار : 07 الإثنين , ربيع الأول, 1436
الکلمات المفتاحية:
Locally convex space,
Minkowski functional,
Topological number,
ملخص المقالة :
In this paper we introduce the concept of topological number for locally convextopological spaces and prove some of its properties. It gives some criterions to study locallyconvex topological spaces in a discrete approach.
المصادر:
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[3] J. B. Conway, A Course in Functional Analysis, Springer-Verlag, 1994.
[4] C. Lixing, Z. Yunchi and Z. Fong, Danes Drop theorem in locally convex spaces, Proc. Amer. Math. Soc, 124(12)(1996), 3699-3702.
[5] P. Robertson, W. Robertson, Topological vector spaces, Cambridge University, 1966.
[6] H. Shaferr, Topological vector spaces, New York:Springer-Verlag, 1971.
[7] R. Tyrrell and R. Fellar, Convex Analysis, Princeton University Press, 1970.
[8] E. Zeidler, Applied functional analysis, Main principles and their application, Contents of AMS, Volume 109, Springer Verlag, 1995.
