Semi‐Fredholm Theory: Hypercyclic and Supercyclic Subspaces

By Manuel González, F. León-Saavedra, A. Montes-Rodríguez. 2000

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Hypercyclic subspaces for Fréchet space operators (2006, background): “) Indeed, by following the procedure in [14], we deduce that there is such a map r(i) and a double sequence (fm,n)m 1,n 0 in F , where fm,0 = em for all m, such that: ∥∥T (fm,n − fm,n−1)∥∥m+n εm/∥∥e∗ m∥∥∗12i(m,n), 0 j < i(m,n), (5) ∥∥T fm,n − δn∥∥n εm/2i(m,n)+1, m,n 1, (6) ∥∥T r(i(m,n))fm′,n′∥∥n εm/”
Hypercyclic subspaces and weighted shifts (2012, background): “ any hypercyclic subspace (see [13]). In the case of a weakly mixing operator on a separable complex Banach space, González, León and Montes have obtained the following characterization: Theorem 0.1 ([5]). Let T be a weakly mixing operator on a separable complex Banach space X. Then the following as”
Linear subsets of nonlinear sets in topological vector spaces (2013, unknown): “4 (González, León, and Montes, 2000 [169]).”