Cohen–Hewitt factorization theorem explained

In mathematics, the Cohen–Hewitt factorization theorem states that if

V is a left module over a Banach algebra B with a left approximate unit (u _{i} ) _{i} , then an element v of V can be factorized as a product v = b w (for some b \in B and w \in V ) whenever \displaystyle \lim _{i} u _{i} v = v . The theorem was introduced by and