Definition:Schauder Basis

Definition
Let $\Bbb F \in \set {\R, \C}$.

Let $\struct {X, \norm \cdot}$ be a normed vector space over $\Bbb F$.

Let $\set {e_n : n \in \N}$ be a countable subset of $X$.

Also see

 * Equivalence of Definitions of Schauder Basis