Compact Operator

Natural & Formal Sciences Dictionary
A linear operator between Banach (or normed) spaces that maps bounded sets to relatively compact sets — equivalently, the image of the unit ball has compact closure.

Compact Operator

- Mathematics & Logic -
Pure Mathematics Dictionary
A linear operator between topological (often normed or Banach) vector spaces that maps bounded sets to relatively compact sets; equivalently, the image of any bounded sequence has a convergent subsequence in the target space.