定义在2 - 赋范空间上的一些序列的拓扑性质。
Topological properties of some sequences defined over 2-normed spaces.
作者信息
Dutta Hemen, Kilicman Adem, Altun Omer
机构信息
Department of Mathematics, Gauhati University, Guwahati, 781014 India.
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
出版信息
Springerplus. 2016 Nov 14;5(1):1974. doi: 10.1186/s40064-016-3646-7. eCollection 2016.
The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research.
本文研究了通过奥尔利奇函数、有界严格正实数序列、乘数和正规半赋范序列空间定义的2-赋范空间上的几类实数序列。研究了这类序列的相关性质。此外，还在各种参数和条件下研究了不同此类序列类之间的关系。最后，研究了这些空间的其他一些有用性质。结论部分提供了许多有趣的事实以供进一步研究。
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