In this paper, we prove a Schwarz lemma for the pentablock. The pentablock P is defined by P = { ( a 21 , tr A , det A ) : A = [ a ij ] i , j = 1 2 ∈ B 2 × 2 } where B 2 × 2 denotes the open unit ball in the space of 2 × 2 c... ...
