弱无条件柯西序列与斐波那契序列空间
Weakly unconditionally Cauchy series and Fibonacci sequence spaces.
作者信息
Kama Ramazan, Altay Bilal
机构信息
Department of Mathematics, Siirt University, Siirt, Turkey.
Faculty of Education, Inonu University, Malatya, Turkey.
出版信息
J Inequal Appl. 2017;2017(1):133. doi: 10.1186/s13660-017-1407-y. Epub 2017 Jun 8.
Abstract
We study new sequence spaces associated to sequences in normed spaces and the band matrix defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces. Also, we characterize the barreledness of a normed space via weakly unconditionally Cauchy series in [Formula: see text].
摘要
我们研究与赋范空间中的序列以及由斐波那契数列定义的带矩阵相关的新序列空间。我们通过新序列空间的完备性给出连续线性算子和弱无条件柯西级数的一些特征。此外，我们通过[公式：见正文]中的弱无条件柯西级数来刻画赋范空间的桶性。
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