Every Isometry is Reflexive

DOI10.2307/2038002zbMath0213.14304OpenAlexW4252144726MaRDI QIDQ5614948

James A. Deddens

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2038002

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (19)

A natural representation for the operator algebra \(\text{Alg Lat } T\) ⋮ Direct sums of reflexive modules ⋮ Reflexivity of Pairs of Shifts ⋮ \(m\)-isometric weighted shifts and reflexivity of some operators ⋮ On consistent operators and reflexivity ⋮ Separating vectors and reflexivity ⋮ Reflexive linear transformations ⋮ Non-self-adjoint operator algebras in Hilbert space ⋮ On the Reflexivity of Operators on Function Spaces ⋮ Spherical isometries are hyporeflexive ⋮ The reflexivity of hyperexpansions and their Cauchy dual operators ⋮ On commuting isometries ⋮ Reflexive operators on analytic function spaces ⋮ Double commutants of isometries ⋮ Singular unitary dilations ⋮ On Direct Sums of Reflexive Operators ⋮ Multiplicities of isometries ⋮ On reflexivity of direct sums ⋮ Contractions with a unilateral shift summand are reflexive

Cites Work

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• Invariant subspaces and unstarred operator algebras
• On Invariant Subspaces of Normal Operators

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