Abstract. Giving a detailed analysis of intertwining pairs, the categorical approach of unitary asymptotes of contractions is provided. The projection-functions connected with unitary asymptotes in the functional model are characterized. Finally, properties of quasianalytic $C_{10}$-contractions are examined in the cases, when the defect index $d_T$ is finite or the asymptotic spectral multiplicity function $\delta_*\le2$.
AMS Subject Classification
(1991): 47A15, 47A45
Keyword(s):
unitary asymptote,
$C_{10}$-contraction,
quasianalycity
Received December 22, 2011, and in revised form March 30, 2012. (Registered under 68/2011.)
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