ACTA issues

## Unitary asymptotes and quasianalycity

László Kérchy

Acta Sci. Math. (Szeged) 79:1-2(2013), 253-271
68/2011

 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.)