Abstract. In this paper we characterize those positive operators which are asymptotic limits of contractions in strong operator topology or uniform topology. We examine the problem when the asymptotic limits of two contractions coincide.
AMS Subject Classification
(1991): 47A45, 47B15, 47B65
Keyword(s):
asymptotic limit,
contraction,
positive operator
Received December 4, 2012. (Registered under 104/2012.)
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