Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces

DOI10.1112/S0024611500012454zbMath1028.47007MaRDI QIDQ2766362

González, Manuel, Alfonso Montes-Rodríguez, Fernando León-Saavedra

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

essential spectrumclosed subspaces of hypercyclic vectorshereditarily hypercyclic operators

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Hypercyclic sequences of PDE-preserving operators, Hypercyclic subspaces in omega, Universal families and hypercyclic operators, Universal and chaotic multipliers on spaces of operators, On ergodic operator means in Banach spaces, Non-existence of frequently hypercyclic subspaces for \(P(D)\), Convolution operators supporting hypercyclic algebras, Common supercyclic vectors for a path of operators, Weyl's theorem and hypercyclic/supercyclic operators, Non-sequential weak supercyclicity and hypercyclicity, Dual disjoint hypercyclic operators, On the set of hypercyclic vectors for the differentiation operator, Property \((W_E)\) and topological uniform descent, Hypercyclic algebras for convolution operators with long arithmetic progressions in their zero sets, Algebrable sets of hypercyclic vectors for convolution operators, The role of the angle in supercyclic behavior., Hypercyclic algebras for convolution and composition operators, Hypercyclic subspaces on Fréchet spaces without continuous norm, Hypercyclic subspaces and weighted shifts, Explicit constructions of dense common hypercyclic subspaces, Hypercyclic algebras, Existence of common and upper frequently hypercyclic subspaces, ON SUPERCYCLIC OPERATORS WITH ADJOINTS HAVING NONEMPTY POINT SPECTRUM, Frequently hypercyclic subspaces, Eigenvalues and hypercyclicity in omega, Hypercyclic subspaces for Fréchet space operators, Supercyclic subspaces: Spectral theory and weighted shifts, BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS, Operators admitting a closed subspace of cyclic vectors, Universal Taylor series with maximal cluster sets, Orbits of Cesàro type operators, Unnamed Item, Weakly supercyclic operators, Regular orbits and positive directions, Existence and non-existence of frequently hypercyclic subspaces for weighted shifts, Hypercyclicity in omega, Orbital and spectral aspects of hypercyclic operators and semigroups, Linear subsets of nonlinear sets in topological vector spaces