Abstract：Let{Xn:n=1,2…} be a sequence of bounded invertible operators on Hilbert space H,T=(T1,T2,…Tn)a n-tuple of pairwise commuting operators on,H,XmTX-1m=(XmT1X-1m,XmT2X-1m,…,XmTnX-1m).limm→∞XmTX-1m=(limm→∞XmT1X-1m,limm→∞XmT2X-1m,…,limm→∞XmTnX-1m)∈
2007, Vol. 31 