Compact operators in locally K − convex spaces with orthogonal bases

الملخص EN

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 1 d space and F is a semi-Montel 2 d space, then every continuous linear operator T : E →F is Compact.