Application of the infinite matrix theory to the solvability of sequence spaces inclusion equations with operators

• Date: 2019
• Main Authors: de, Malafosse B., де, Малафоссе Б.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1496
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Given any sequence $a = (a_n)_n \geq 1$ of positive real numbers and any set $E$ of complex sequences, we write $E_a$ for the set of all sequences $y=(y_{n})_{n \geq 1}$ such that y/a = $y/a=(y_{n}/a_{n})_{n\geq 1}\in E.$ In particular, $c_{a}$ denotes the set of all sequences $y$ such...