# The spectrum maps of type the domain of general quantum difference in generalized Cesàro sequence space

Volume 28, Issue 4, pp 412--428
Publication Date: July 28, 2022 Submission Date: May 09, 2022 Revision Date: March 19, 2022 Accteptance Date: June 11, 2022
• 65 Downloads
• 98 Views

### Authors

A. A. Bakery - Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia. - Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Abbassia, Egypt. M. M. Mohammed - Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia. - Department of Statistics, Faculty of Science, Sudan University of Science $\&$ Technology, Khartoum, Sudan.

### Abstract

We introduce the domain of general quantum difference in generalized Cesàro sequence space in this article. Some topological and geometric structures, the multiplication operators defined on it, and the eigenvalue distribution of operator ideals induced by this space and $s$-numbers have been presented.

### Share and Cite

##### ISRP Style

A. A. Bakery, M. M. Mohammed, The spectrum maps of type the domain of general quantum difference in generalized Cesàro sequence space, Journal of Mathematics and Computer Science, 28 (2023), no. 4, 412--428

##### AMA Style

Bakery A. A., Mohammed M. M., The spectrum maps of type the domain of general quantum difference in generalized Cesàro sequence space. J Math Comput SCI-JM. (2023); 28(4):412--428

##### Chicago/Turabian Style

Bakery, A. A., Mohammed, M. M.. "The spectrum maps of type the domain of general quantum difference in generalized Cesàro sequence space." Journal of Mathematics and Computer Science, 28, no. 4 (2023): 412--428

### Keywords

• Cesàro sequence space
• general quantum difference
• multiplication mapping
• $s$-numbers
• pre-quasi ideal
• minimum space

•  46A45
•  46B45
•  46C05
•  46E30
•  47H09