2 results
Operator algebras from the discrete Heisenberg semigroup
- Part of
-
- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 1 / February 2012
- Published online by Cambridge University Press:
- 08 November 2011, pp. 1-22
-
- Article
-
- You have access
- Export citation
-
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
.
.Slice Maps and Multipliers of Invariant Subspaces
-
- Journal:
- Canadian Mathematical Bulletin / Volume 39 / Issue 2 / 01 June 1996
- Published online by Cambridge University Press:
- 20 November 2018, pp. 219-226
- Print publication:
- 01 June 1996
-
- Article
-
- You have access
- Export citation
-
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.
be the closed bidisc and 
be a slice map, that is, 
and 
Then ker Φ
In this paper, we study the set 
of all multipliers for an invariant subspace M such that the common zero set of 