Add to ORKGIn this paper, we study operator-theoretic properties of the compressed shift operators S_z1 and S_z2 on complements of submodules of the Hardy space over the bidisk H^2(D^2). Specifically, we study Beurling-type submodules using properties of Agler decompositions to deduce properties of S_z1 and S_z2 on model spaces. Results include characterizations of when a commutator has rank n and when subspaces associated to Agler decompositions are reducing for S_z1 and S_z2 . We include several open questions
We present two alternative proofs of Mandrekar’s theorem, which states that an invariant subspace of...
A complete characterization of nearly-invariant subspaces of finite defect for the backward shift op...
A seminal result of Agler proves that the natural de Branges-Rovnyak kernel function associated to a...
This paper deals with an operator theory of compressed shifts on the Hardy space over the bidisk. We...
The classical Hardy space H2 has a natural structure of a module over the algebra of polynomials C[z...
In the previous paper, we give a characterization of backward shift invariant subspaces of the Hardy...
Abstract. For a subset E of the bidisc D2,M = {f ∈ H2(D2) : f = 0 on E} and N is the orthogonal comp...
AbstractThis paper is a continuation of an effort to build an organized operator theory in H2(D2). I...
For every invariant subspace NI in the Hardy spaces H2 (f2 ), let Vz and Vw be mulitplication operat...
The object of this paper is to prove a version of the Beurling-Helson-Lowdenslager invariant subspac...
AbstractIf ϑ is a non-constant analytic function defined on the unit disk D such that ϑ(D) ⊂D, the c...
We investigate suitable conditions for a C0-semigroup (T(t))t≥0 of Hilbert space contractions to be ...
Shift operators play an important role in different areas of Mathematics such as Operator Theory, Dy...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
We study analytic models of operators of class C-.0 with natural positivity assumptions. In particul...
We present two alternative proofs of Mandrekar’s theorem, which states that an invariant subspace of...
A complete characterization of nearly-invariant subspaces of finite defect for the backward shift op...
A seminal result of Agler proves that the natural de Branges-Rovnyak kernel function associated to a...
This paper deals with an operator theory of compressed shifts on the Hardy space over the bidisk. We...
The classical Hardy space H2 has a natural structure of a module over the algebra of polynomials C[z...
In the previous paper, we give a characterization of backward shift invariant subspaces of the Hardy...
Abstract. For a subset E of the bidisc D2,M = {f ∈ H2(D2) : f = 0 on E} and N is the orthogonal comp...
AbstractThis paper is a continuation of an effort to build an organized operator theory in H2(D2). I...
For every invariant subspace NI in the Hardy spaces H2 (f2 ), let Vz and Vw be mulitplication operat...
The object of this paper is to prove a version of the Beurling-Helson-Lowdenslager invariant subspac...
AbstractIf ϑ is a non-constant analytic function defined on the unit disk D such that ϑ(D) ⊂D, the c...
We investigate suitable conditions for a C0-semigroup (T(t))t≥0 of Hilbert space contractions to be ...
Shift operators play an important role in different areas of Mathematics such as Operator Theory, Dy...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
We study analytic models of operators of class C-.0 with natural positivity assumptions. In particul...
We present two alternative proofs of Mandrekar’s theorem, which states that an invariant subspace of...
A complete characterization of nearly-invariant subspaces of finite defect for the backward shift op...
A seminal result of Agler proves that the natural de Branges-Rovnyak kernel function associated to a...