Abstract
AbstractIn this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk $${\mathbb {D}}^n$$
D
n
in the unitary space $${\mathbb {C}}^n$$
C
n
, that have been introduced and well studied in our earlier paper (Benaissa and Guediri in Taiwan J Math 19: 31–49, 2015), as well as for the C*-subalgebra generated by dual Toeplitz operators with symbols continuous on the associated hypertorus $${\mathbb {T}}^n$$
T
n
.
Publisher
Springer Science and Business Media LLC