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Abstract. In this paper we have shown that
the sequence { }
converges strongly to the Hankel operator SΦ  L(H2Cn(T))for
Φ L∞Mn(T)and for all inner functions q H∞(T). Here TΦ is the Toeplitz operator on the Hardy space H2Cn(T), In x n is the identity matrix of
order n, JmqIn xn = diag[Jmq, Jmq,...,Jmq] where for
i  0, m
0, Jm*q
zi = qmzm-i, 0  i
m
and 0, otherwise.
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