Banach spaces of hypercyclic vectors
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Publication:5961592
DOI10.1307/mmj/1029005536zbMath0907.47023OpenAlexW1987267720MaRDI QIDQ5961592
Publication date: 5 November 1998
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1029005536
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38)
Related Items (40)
Hypercyclic sequences of PDE-preserving operators ⋮ Hypercyclic subspaces in omega ⋮ Universal families and hypercyclic operators ⋮ Universal and chaotic multipliers on spaces of operators ⋮ Non-existence of frequently hypercyclic subspaces for \(P(D)\) ⋮ A hypercyclicity criterion with applications ⋮ Linear structure of hypercyclic vectors ⋮ On lineability of sets of continuous functions ⋮ Dynamics of composition operators with holomorphic symbol ⋮ Construction of dense maximal-dimensional hypercyclic subspaces for Rolewicz operators ⋮ Dynamics of weighted composition operators ⋮ Reprint of: On spaceability of shift-like operators on \(L^p\) ⋮ On spaceability of shift-like operators on \(L^p\) ⋮ On the existence of infinite-dimensional closed subspaces of frequently hypercyclic vectors for \(T_f\) ⋮ Lineability of universal divergence of Fourier series ⋮ Hypercyclic subspaces on Fréchet spaces without continuous norm ⋮ Lineability criteria, with applications ⋮ Hypercyclic subspaces and weighted shifts ⋮ Notes about the structure of common supercyclic vectors ⋮ Explicit constructions of dense common hypercyclic subspaces ⋮ Existence of common and upper frequently hypercyclic subspaces ⋮ Generic properties of Padé approximants and Padé universal series ⋮ On the supercyclicity and hypercyclicity of the operator algebra ⋮ Frequently hypercyclic subspaces ⋮ Chaotic extensions of operators on Hilbert subspaces ⋮ Restrictions of an invertible chaotic operator to its invariant subspaces ⋮ Hypercyclic subspaces for Fréchet space operators ⋮ Supercyclic subspaces: Spectral theory and weighted shifts ⋮ Hypercyclic subspaces of a Banach space ⋮ Simultaneous chaotic extensions for general operators on a Hilbert subspace ⋮ Universal Taylor series with maximal cluster sets ⋮ Extended abstract theory of universal series and applications ⋮ Unnamed Item ⋮ Existence of common hypercyclic subspaces for the derivative operator and the translation operators ⋮ Subspaces of frequently hypercyclic functions for sequences of composition operators ⋮ Hypercyclicity in omega ⋮ Linearity of sets of strange functions ⋮ Hereditarily hypercylic operators ⋮ Linear subsets of nonlinear sets in topological vector spaces ⋮ Spectral theory and hypercyclic subspaces
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