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

Year 2023, , 162 - 169, 18.12.2023

Pınar Zengin Alp

https://doi.org/10.32323/ujma.1378917

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

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