We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We study reflexivity and structural properties of operator algebras generated by representations of the discrete Heisenberg semigroup. We show that the left regular representation of this semigroup gives rise to a semi-simple reflexive algebra. We exhibit an example of a representation that gives rise to a non-reflexive algebra. En route, we establish reflexivity results for subspaces of 
.
Let 
be the closed bidisc and T2 be its distinguished boundary. For 
be a slice map, that is, 
and 
Then ker Φαβ is an invariant subspace, and it is not difficult to describe ker Φαβ and 
In this paper, we study the set 
of all multipliers for an invariant subspace M such that the common zero set of M contains that of ker Φαβ.
