Abstract. The abstract analogue of classical two variables Toeplitz operators is presented. The existence of symbol operators is shown. Properties of the doubly commuting minimal isometric dilation of doubly commuting contractions are used.
AMS Subject Classification
(1991): 47A62, 47A20,47B35, 47B38, 47B20
Received June 26, 2003, and in final form October 4, 2004. (Registered under 5873/2009.)