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A model for operators with cyclic adjoint

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Publication:1091580
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DOI10.1007/BF01199076zbMath0623.47006MaRDI QIDQ1091580

Aharon Atzmon

Publication date: 1987

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

similarityinvariant subspacesreproducing kernel Hilbert spaceunitary equivalencetranslation grouptranslation invariant subspacesdifferentiation operator on a Banach space of entire functions of exponential typeweak-star-cyclic vector


Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Canonical models for contractions and nonselfadjoint linear operators (47A45)


Related Items (1)

Topological KKM theorems and generalized vector equilibria on G-convex spaces with applications




Cites Work

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  • An operator without invariant subspaces on a nuclear Fréchet space
  • Un opérateur sans sous-espace invariant: Simplification de l'exemple de P. Enflo
  • Operators which are annihilated by analytic functions and invariant subspaces
  • The existence of invariant subspaces
  • A Solution to the Invariant Subspace Problem
  • Cyclic Vectors of a Cyclic Operator Span the Space




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