Source: wikibot/schroder-bernstein-theorems-for-operator-algebras
= Schröder–Bernstein theorems for operator algebras
{wiki=Schröder–Bernstein_theorems_for_operator_algebras}
The Schröder–Bernstein theorem, traditionally framed in set theory, states that if there are injective (one-to-one) functions \\( f: A \\to B \\) and \\( g: B \\to A \\) between two sets \\( A \\) and \\( B \\), then there exists a bijection (one-to-one and onto function) between \\( A \\) and \\( B \\).