On matrix operators on the series space $|\bar{N}_p^θ|_k$

• Date: 2017
• Main Authors: Mohapatra, R. N., Sarigol, M. A., Мохапатра, Р. Н., Сарігол, М. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1800
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Recently, the space $|\bar{N}_p^θ|_k$ has been generated from the set of $k$-absolutely convergent series $\ell_k$ as the set of series summable by the absolute weighted method. In the paper, we investigate some properties of this space, such as $\beta$ -duality and the relationship with \ell k and...