caa a22 4500 465811345 CHVBK 20180323112117.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF02108866 doi (NATIONALLICENCE)springer-10.1007/BF02108866 Qing Lin Institute of Mathematics, Academia Sinica, People's Republic of China aut Imbedded operators with finite Blaschke product symbol [Elektronische Daten] [Lin Qing] LetF=(f ij )be ann×n matrix ofH ∞entries, and define $$S_F = (T_{2 \otimes ln}^* \oplus T_{2 \otimes ln}^* )\left| {_{Graph T_F^* } } \right..$$ This type of operator plays an important role in Cowen-Douglas theory. We call it the imbedded operator with symbolF. In the paper [L], we have already shown thatS F is a compact pertubation ofT z⊗ * I n by BDF Theorem. In this paper, we begin to investigate the compact part ofS F . We give a practical method to calculate this compact part whenn=1 andF is any finite Blaschke product. Springer-Verlag, 1990 Acta Mathematica Sinica Springer-Verlag 6/1(1990-03-01), 72-79 1439-8516 6:1<72 1990 6 10114 https://doi.org/10.1007/BF02108866 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02108866 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Qing Lin Institute of Mathematics, Academia Sinica, People's Republic of China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica Springer-Verlag 6/1(1990-03-01), 72-79 1439-8516 6:1<72 1990 6 10114 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer