The New Class $L_{p,\Phi}$ of $s$-Type Operators

Abstract

In this study, the class of $s$-type $\ell_{p}( \Phi )$ operators is introduced and it is shown that $L_{p,\Phi}$ is a quasi-Banach operator ideal. Also, some other classes are defined by using approximation, Gelfand, Kolmogorov, Weyl, Chang, and Hilbert number sequences. Then, some properties are examined.

Keywords

• euler-totient matrix
• operator ideal
• $s$-numbers