On the Reflexivity of Operators on Function Spaces
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Publication:4022082
DOI10.2307/2159292zbMath0806.47026OpenAlexW4243432618MaRDI QIDQ4022082
Bahmann Yousefi, Karim Seddighi
Publication date: 17 January 1993
Full work available at URL: https://doi.org/10.2307/2159292
reflexivebilateral weighted shiftCowen-Douglas classHilbert space of analytic functionsbounded plane domain
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Spectral sets of linear operators (47A25)
Related Items (8)
Numerical range of operators acting on Banach spaces ⋮ On formal Laurent series ⋮ On the eleventh question of Allen Shields ⋮ On some properties of Cowen-Douglas class of operators ⋮ Reflexivity of the shift operator on some BK spaces ⋮ Approximately multiplicative functionals on the spaces of formal power series ⋮ Property of reflexivity for multiplication operators on Banach function spaces ⋮ Reflexive operators on analytic function spaces
Cites Work
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- Reflexive linear transformations
- (BCP)-operators are reflexive
- Invariant subspaces and unstarred operator algebras
- Generalized Bergman Kernels and the Cowen-Douglas Theory
- Essential Spectra of Operators in the Class B n (Ω)
- Every Isometry is Reflexive
- Complex geometry and operator theory
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