The following is Theorem in [1].\,  
 Let $A$ be the ball algebra or 
the polydisk algebra in ${\mathbb{ C}}^n$. 
\,When $n>1$, there are no codimension $1$ 
linear isometries on $A$.\par 
 Professor Junzo\,Wada  indicated the author 
an error in the proof of Theorem for the case 
of the polydisk algebra.\, 
 The purpose of this note is to supply 
a correct proof of the result.\,