BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS

DOI10.1017/S0017089507003692zbMath1129.47009MaRDI QIDQ5757156

Héctor N. Salas

Publication date: 6 September 2007

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

hypercyclic operatorbilateral weighted shiftdual hypercyclic operator

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (10)

Dual disjoint hypercyclic operators ⋮ Unnamed Item ⋮ Dynamics of weighted shifts on directed trees ⋮ Residuality of sets of hypercyclic operators ⋮ Disjoint mixing operators ⋮ Unnamed Item ⋮ The algebraic size of the family of injective operators ⋮ Hypercyclicity properties of commutator maps ⋮ A short proof of existence of disjoint hypercyclic operators ⋮ Prescribed compressions of dual hypercyclic operators

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Common hypercyclic subspaces
• Limits of hypercyclic and supercyclic operators
• Hypercyclic operators on non-normable Fréchet spaces
• Hereditarily hypercylic operators
• Existence of hypercyclic operators on topological vector spaces
• Linear structure of hypercyclic vectors
• Common hypercyclic vectors for multiples of backward shift.
• Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces
• Spaces that admit hypercyclic operators with hypercyclic adjoints
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• On hypercyclic operators on Banach spaces
• Universal families and hypercyclic operators
• Hypercyclic Weighted Shifts

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