LF-space
TOPOLOGICAL VECTOR SPACE THAT IS A LOCALLY CONVEX INDUCTIVE LIMIT OF A COUNTABLE INDUCTIVE SYSTEM OF FRÉCHET SPACES
LF space; Lf space; (LF)-space; Direct limit of topological vector spaces; Direct limit of TVSs; Limit of topological vector spaces; Strict LF-space
In mathematics, an LF-space, also written (LF)-space, is a topological vector space (TVS) X that is a locally convex inductive limit of a countable inductive system (X_n, i_{nm}) of Fréchet spaces.