caa a22 4500 467932069 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s00020-004-1343-3 doi (NATIONALLICENCE)springer-10.1007/s00020-004-1343-3 Xia Daoxing Department of Mathematics, Vanderbilt University, TN 37240, Nashville, USA aut On a Class of Operators of Finite Type [Elektronische Daten] [Daoxing Xia] Abstract.: This paper studies some class of pure operators A with finite rank self-commutators satisfying the condition that there is a finite dimensional subspace containing the image of the self-commutator and invariant with respect to A*. Besides, in this class the spectrum of operator A is covered by the projection of a union of quadrature domains in some Riemann surfaces. In this paper the analytic model, the mosaic and some kernel related to the eigenfunctions are introduced which are the analogue of those objects in the theory of subnormal operators. Birkhäuser Verlag, Basel, 2006 nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/1(2006-01-01), 131-150 0378-620X 54:1<131 2006 54 20 https://doi.org/10.1007/s00020-004-1343-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-004-1343-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Xia Daoxing Department of Mathematics, Vanderbilt University, TN 37240, Nashville, USA aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/1(2006-01-01), 131-150 0378-620X 54:1<131 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer