Abstract. In this note we give a spectral characterization of the Taylor--Browder spectrum for a doubly commuting $n$-tuple of some dominant operators properly containing $M$-hyponormal operators. This extends earlier results obtained by M. Chō.

AMS Subject Classification (1991): 47A13, 47B20, 47A53

Keyword(s): Taylor-Browder spectrum, joint Weyl spectrum, dominant operator, M-hyponormal operator

Received February 9, 1999. (Registered under 2709/2009.)