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

Pınar Zengin Alp

doi:10.32323/ujma.1378917

EN

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

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Pınar Zengin Alp ^*
0000-0001-9699-7199
Türkiye

Early Pub Date

December 11, 2023

Publication Date

December 18, 2023

Submission Date

October 20, 2023

Acceptance Date

December 10, 2023

Published in Issue

Year 2023 Volume: 6 Number: 4

DOI

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

IZ

https://izlik.org/JA38RF94NR

APA

Zengin Alp, P. (2023). The New Class $L_{p,\Phi}$ of $s$-Type Operators. Universal Journal of Mathematics and Applications, 6(4), 162-169. https://doi.org/10.32323/ujma.1378917

AMA

1.Zengin Alp P. The New Class $L_{p,\Phi}$ of $s$-Type Operators. Univ. J. Math. Appl. 2023;6(4):162-169. doi:10.32323/ujma.1378917

Chicago

Zengin Alp, Pınar. 2023. “The New Class $L_{p,\Phi}$ of $s$-Type Operators”. Universal Journal of Mathematics and Applications 6 (4): 162-69. https://doi.org/10.32323/ujma.1378917.

EndNote

Zengin Alp P (December 1, 2023) The New Class $L_{p,\Phi}$ of $s$-Type Operators. Universal Journal of Mathematics and Applications 6 4 162–169.

IEEE

[1]P. Zengin Alp, “The New Class $L_{p,\Phi}$ of $s$-Type Operators”, Univ. J. Math. Appl., vol. 6, no. 4, pp. 162–169, Dec. 2023, doi: 10.32323/ujma.1378917.

ISNAD

Zengin Alp, Pınar. “The New Class $L_{p,\Phi}$ of $s$-Type Operators”. Universal Journal of Mathematics and Applications 6/4 (December 1, 2023): 162-169. https://doi.org/10.32323/ujma.1378917.

JAMA

1.Zengin Alp P. The New Class $L_{p,\Phi}$ of $s$-Type Operators. Univ. J. Math. Appl. 2023;6:162–169.

MLA

Zengin Alp, Pınar. “The New Class $L_{p,\Phi}$ of $s$-Type Operators”. Universal Journal of Mathematics and Applications, vol. 6, no. 4, Dec. 2023, pp. 162-9, doi:10.32323/ujma.1378917.

Vancouver

1.Pınar Zengin Alp. The New Class $L_{p,\Phi}$ of $s$-Type Operators. Univ. J. Math. Appl. 2023 Dec. 1;6(4):162-9. doi:10.32323/ujma.1378917