Supercyclic Subspaces: Spectral Theory and Weighted Shifts

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On hypercyclicity and supercyclicity criteria (2004, background): “[21] A. Montes-Rodriguez and H. Salas, 'Supercyclic subspaces: spectral theory and weighted shifts', Adv.”
Hypercyclic subspaces for Fréchet space operators (2006, background): “The study of hypercyclic subspaces originates from [5,25] and the topic has then been studied intensively in a series of papers [4,6,8,14,19,20,26,27].”
Non-sequential weak supercyclicity and hypercyclicity (2012, unknown): “Again, the proof also works if the norm topology is replaced by the weak one, see [20] and [26].”
Linear subsets of nonlinear sets in topological vector spaces (2013, methodology): “Theorem 3.9 (Montes and Salas, 2001 [225]).”
Semi‐Fredholm Theory: Hypercyclic and Supercyclic Subspaces (2000, background): “A striking result in [19] is the fact that there still are examples of operators that belong to SC0= HnSC0= ;1H.”
HYPERCYCLIC OPERATORS, MIXING OPERATORS AND THE BOUNDED STEPS PROBLEM (2005, background): “It is not known whether a supercyclic operator such that σp(T∗) is empty satisfies the Supercyclicity Criterion [27].”
Recurrent Linear Operators (2013, background): “See also the survey articles [35], [45], [12], [23], [36].”