由绝对欧拉可和性与矩阵算子导出的空间的推广。
Generalization of the space derived by absolute Euler summability and matrix operators.
作者信息
Gökçe Fadime, Sarıgöl Mehmet Ali
机构信息
Department of Mathematics, University of Pamukkale, Denizli, Turkey.
出版信息
J Inequal Appl. 2018;2018(1):133. doi: 10.1186/s13660-018-1724-9. Epub 2018 Jun 15.
The sequence space having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345-355, 1967). In the present paper, we generalize the space to the space derived by the absolute summability of Euler mean. Also, we show that it is a paranormed space and linearly isomorphic to . Further, we determine -, -, and -duals of this space and construct its Schauder basis. Also, we characterize certain matrix operators on the space.
在可和性理论中起重要作用的序列空间由马多克斯定义并研究（《牛津季刊数学》18:345 - 355，1967）。在本文中，我们将该空间推广到由欧拉均值的绝对可和性导出的空间 。此外，我们证明它是一个赋准范空间且与 线性同构。进一步地，我们确定该空间的 -、 - 和 - 对偶，并构造其绍德尔基。同时，我们刻画了该空间上的某些矩阵算子。
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