Let M be an invariant subspace of L2 (T2) on the bidisc. v1 and v2 denote the multiplication operators on M by coordinate functions z and w, respectively. In this paper we study the relation between M and the commutator of and V2. For example, M is studied when the commutator is self-adjoint or finite rank
AbstractP.R. Halmos proved that for a linear operator A over a finite-dimensional complex vector spa...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
This book deals with various aspects of commutants and reducing subspaces of multiplication operator...
For any nonzero invariant subspace M in H2 (T2), set M x = [ U z nM] n [ U w nM] then Mx is also an ...
AbstractHilbert spaces of analytic functions where multiplication by z is a subnormal operator with ...
For every invariant subspace NI in the Hardy spaces H2 (f2 ), let Vz and Vw be mulitplication operat...
AbstractEvery invariant subspace of the commutant {A′} of an operator A is the range of some operato...
In the previous paper, we give a characterization of backward shift invariant subspaces of the Hardy...
Abstract. The invariant and reducing subspaces of composition operators, multiplication operators an...
Abstract. Let M be a forward shift invariant subspace and N a backward shift invariant subspace in t...
Let M be a forward shift invariant subspace and N a backward shift invariant subspace in the Hardy s...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
Using the tools of Sz.-Nagy–Foias theory of contractions, we describe in detail the invariant subspa...
AbstractThis paper is a continuation of an effort to build an organized operator theory in H2(D2). I...
We study invariant subspaces in the context of the work of Katavolos and Power [9] and [10] when one...
AbstractP.R. Halmos proved that for a linear operator A over a finite-dimensional complex vector spa...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
This book deals with various aspects of commutants and reducing subspaces of multiplication operator...
For any nonzero invariant subspace M in H2 (T2), set M x = [ U z nM] n [ U w nM] then Mx is also an ...
AbstractHilbert spaces of analytic functions where multiplication by z is a subnormal operator with ...
For every invariant subspace NI in the Hardy spaces H2 (f2 ), let Vz and Vw be mulitplication operat...
AbstractEvery invariant subspace of the commutant {A′} of an operator A is the range of some operato...
In the previous paper, we give a characterization of backward shift invariant subspaces of the Hardy...
Abstract. The invariant and reducing subspaces of composition operators, multiplication operators an...
Abstract. Let M be a forward shift invariant subspace and N a backward shift invariant subspace in t...
Let M be a forward shift invariant subspace and N a backward shift invariant subspace in the Hardy s...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
Using the tools of Sz.-Nagy–Foias theory of contractions, we describe in detail the invariant subspa...
AbstractThis paper is a continuation of an effort to build an organized operator theory in H2(D2). I...
We study invariant subspaces in the context of the work of Katavolos and Power [9] and [10] when one...
AbstractP.R. Halmos proved that for a linear operator A over a finite-dimensional complex vector spa...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
This book deals with various aspects of commutants and reducing subspaces of multiplication operator...
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