若您是本文的作者，可授權文章由華藝線上圖書館中協助推廣。
並列摘要
In the theory of functional analysis, a linear space is usually equipped with an artificial topology. In this paper, we construct a topology for a linear space just by talking use of the algebraic structure of linear space, and we investigate some properties of this topology. Finally, we proof the topology we construct is Hausdorff.
參考文獻
Lecture Notes in Mathematics, no. 489, Springer 1975.
Lecture Notes in Mathematics, no. 802, Springer 1980.
[4] Rockafellar, R. T. Convex Analysis, Princeton University Press, 1979.
[5] Tiel, Jan van, Convex Analysis, John Wiley and Sons. Ltd, 1984.
[1] Barbu, V. and Precupanu, Th. Convexity and Optinuzation in Banach
被引用紀錄
WU, P. H. (2011). 在線性空間上建構拓樸 [master's thesis, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/CYCU.2011.00194
延伸閱讀
- WU, P. H. (2011). 在線性空間上建構拓樸 [master's thesis, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/CYCU.2011.00194
- Lee, Y. Y. (2009). Schwinger模型上的拓樸率 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2009.02392
- Li, Y. J. (2012). 一些拓樸場論之構造 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0908201218175681
- LEE, S. H. (2005). 單自由度可變拓樸機構之拓樸構造分析與概念設計 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2005.01164
- Duszyński, Z. (2009). Functions and Regularity of Topological Spaces. Tamkang Journal of Mathematics, 40(1), 67-74. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200903-201210250013-201210250013-67-74