On Certain Representations of H∞(G) and the Reflexivity of Associated Operator Algebras
Summary: In [`Normal boundary relations and rationally invariant subspaces', to appear in Integral Equations Oper. Theory], \textit{H. Bercovici} and the second author have proved the existence of rationally invariant subspaces for operators \(T\) admitting as spectral set a compact subset of \(\mathbb{C}\) with nice boundary contained in \(\sigma(T)\).
Chevreau, B., Li, W.S.
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Generalized derivable mappings at zero point on some reflexive operator algebras
Let \(L\) be a finite complete commutative subspace lattice on a complex separable Hilbert space \(H\) and let \(\text{alg}(L)\) be the subalgebra of \(B(H)\) (the Banach algebra of all continuous linear operators on \(H\)) consisting of the operators which leave every member of \(L\) invariant.
Zhu, Jun, Xiong, Changping
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On the structure of certain reflexive operator algebras
AbstractA characterization is given of the class of operators which commute with the core of a nest algebra modulo its Jacobson radical, and of those projections which commute with every member of the nest algebra modulo its radical. A precise description is given of those operators which commute modulo the radical with every member of the nest algebra
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On the rank of operators in reflexive algebras
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Implication in finite posets with pseudocomplemented sections. [PDF]
Chajda I, Länger H.
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On pre-reflexive algebras and pre-reflexive operators [PDF]
Kanta Aggarwal, S. C. Arora
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Maximally mutable Laurent polynomials. [PDF]
Coates T +3 more
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Haar null closed and convex sets in separable Banach spaces. [PDF]
Ravasini D.
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Coordinating invisible and visible sameness within equivalence transformations of numerical equalities by 10- to 12-year-olds in their movement from computational to structural approaches. [PDF]
Kieran C, Martínez-Hernández C.
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Reflexivity of the commutant and local commutants of an algebraic operator
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