AbstractThis paper answers two questions about unitarily equivalent pairs of invariant subspaces X1 and X2 of the Hardy space H2(Tn); these satisfy X2 = ψX1 for some unimodular ψ ϵ L∞ (Tn): (I) Must ψ then be a quotient of inner functions? (II) If ψ = g2g1 is such a quotient, does it follow that the inner functions g1 and g2 can be so chosen that ḡ1X1 = ḡ2X2 is an invariant subspace of H2(Tn), not merely of L2(Tn)? When n > 1, both answers are: No
ABSTRACT. This paper studies closed subspaces L of the Hardy spaces Hp which are g-invariant (i.e., ...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
AbstractIt is proved that L∞(GH) does not contain any proper G-invariant closed subspaces of finite ...
AbstractThis paper answers two questions about unitarily equivalent pairs of invariant subspaces X1 ...
For any nonzero invariant subspace M in H2 (T2), set M x = [ U z nM] n [ U w nM] then Mx is also an ...
We show that if Tφ has a nontrivial invariant subspace in the set of invariant subspaces of Tz then ...
In this paper, we give a complete characterization of singly generated invariant subspaces in the Ha...
Let H be a separable Hilbert space and let A be the algebra of continuous functions on the torus T^2...
Indiana University-Purdue University Indianapolis (IUPUI)Invariant subspaces are a natural topic in ...
Abstract. Let M be a forward shift invariant subspace and N a backward shift invariant subspace in t...
If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: ...
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, t...
AbstractLet (〈,〉,J1) and (〈,〉,J2) denote two Hermitian structures on a 2n-dimensional Euclidean spac...
AbstractA closed subspace M of H2H invariant under the shift operator which contains for each eϵH a ...
A complete description is obtained for the subspaces of the Hardy space H-P (p >= 1) that are invari...
ABSTRACT. This paper studies closed subspaces L of the Hardy spaces Hp which are g-invariant (i.e., ...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
AbstractIt is proved that L∞(GH) does not contain any proper G-invariant closed subspaces of finite ...
AbstractThis paper answers two questions about unitarily equivalent pairs of invariant subspaces X1 ...
For any nonzero invariant subspace M in H2 (T2), set M x = [ U z nM] n [ U w nM] then Mx is also an ...
We show that if Tφ has a nontrivial invariant subspace in the set of invariant subspaces of Tz then ...
In this paper, we give a complete characterization of singly generated invariant subspaces in the Ha...
Let H be a separable Hilbert space and let A be the algebra of continuous functions on the torus T^2...
Indiana University-Purdue University Indianapolis (IUPUI)Invariant subspaces are a natural topic in ...
Abstract. Let M be a forward shift invariant subspace and N a backward shift invariant subspace in t...
If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: ...
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, t...
AbstractLet (〈,〉,J1) and (〈,〉,J2) denote two Hermitian structures on a 2n-dimensional Euclidean spac...
AbstractA closed subspace M of H2H invariant under the shift operator which contains for each eϵH a ...
A complete description is obtained for the subspaces of the Hardy space H-P (p >= 1) that are invari...
ABSTRACT. This paper studies closed subspaces L of the Hardy spaces Hp which are g-invariant (i.e., ...
AbstractA theorem of Beurling–Lax–Halmos represents a subspace M of H2C(D)—the Hardy space of analyt...
AbstractIt is proved that L∞(GH) does not contain any proper G-invariant closed subspaces of finite ...
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