Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1751 2022 2022 Online Islamic University, Department Of Science and Information Technology, Doha, Qatar Karla Zayood 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. 2023 2023 08 11 10.54216/GJMSA.050201 https://www.americaspg.com/articleinfo/33/show/1751