|
|||||
|
|
|
|
|
|
|
|
|
Unitary equivalence
of invariant subspaces of Bergman and Dirichlet spaces
Stefan Richter |
|
Vol. 133 (1988), No. 1, 151–156
|
Abstract |
|
In this paper we investigate unitary equivalence of invariant subspaces of the Bergman and the Dirichlet space. By definition, this means unitary equivalence of the multiplication operator Mz restricted to the invariant subspaces. We show that no two invariant subspaces of the Bergman space are unitarily equivalent to one another unless they are equal. Under some extra assumption on the invariant subspaces we obtain a similar result for the Dirichlet space. |
Mathematical Subject Classification 2000
Primary: 47B38
Secondary: 46E20, 46J15, 47A15, 47B37
|
Milestones
Received: 20 August 1986
Published: 1 May 1988
|
Authors |
| Stefan Richter | |
|
