1
Online Islamic University, Department Of Science and Information Technology, Doha, Qatar
(zayyyoood134@gmail.com)
Abstract :
In this paper we give an equivalent definition of continuous and compact linear operators by using orthogonal bases in non-archimedean locally K - convex spaces. We also show that if E is a space and F is a semi-Montel space, then every continuous linear operator T:E→F is compact.
Keywords :
Operator; Convex space; Compact set
References :
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| Style | # |
|---|---|
| MLA | Karla Zayood. "A Study on Compact Operators in Locally K -Convex Spaces." Galoitica: Journal of Mathematical Structures and Applications, Vol. 5, No. 2, 2023 ,PP. 08-11 (Doi : https://doi.org/10.54216/GJMSA.050201) |
| APA | Karla Zayood. (2023). A Study on Compact Operators in Locally K -Convex Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 2 ), 08-11 (Doi : https://doi.org/10.54216/GJMSA.050201) |
| Chicago | Karla Zayood. "A Study on Compact Operators in Locally K -Convex Spaces." Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 no. 2 (2023): 08-11 (Doi : https://doi.org/10.54216/GJMSA.050201) |
| Harvard | Karla Zayood. (2023). A Study on Compact Operators in Locally K -Convex Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 2 ), 08-11 (Doi : https://doi.org/10.54216/GJMSA.050201) |
| Vancouver | Karla Zayood. A Study on Compact Operators in Locally K -Convex Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 5 ( 2 ): 08-11 (Doi : https://doi.org/10.54216/GJMSA.050201) |
| IEEE | Karla Zayood, A Study on Compact Operators in Locally K -Convex Spaces, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 5 , No. 2 , (2023) : 08-11 (Doi : https://doi.org/10.54216/GJMSA.050201) |