On linear dynamics of sets of operators

DOI10.3906/mat-1808-129zbMath1486.47015arXiv1810.12438OpenAlexW2963777706WikidataQ128536545 ScholiaQ128536545MaRDI QIDQ5742944

Otmane Benchiheb, Mohamed Amouch

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12438

zbMATH Keywords

orbit\(C_0\)-semigrouphypercyclic operators\(C\)-regularized grouphypercyclic sets of operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Cyclic vectors, hypercyclic and chaotic operators (47A16) (C)-semigroups, regularized semigroups (47D60)

Related Items (8)

Recurrence of multiples of composition operators on weighted Dirichlet spaces ⋮ Codiskcyclic sets of operators on complex topological vector spaces ⋮ Diskcyclicity of sets of operators and applications ⋮ Weakly recurrent operators ⋮ Disjoint strong transitivity of composition operators ⋮ On compositional dynamics on hardy space ⋮ On super-rigid and uniformly super-rigid operators ⋮ Unnamed Item

Cites Work

• Distributionally chaotic families of operators on Fréchet spaces
• Linear chaos
• A note on topological and strict transitivity
• Operators with dense, invariant, cyclic vector manifolds
• Limits of hypercyclic and supercyclic operators
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• Universal families and hypercyclic operators
• Somewhere dense orbits are everywhere dense
• Linear Chaos on Fréchet Spaces
• On orbits of elements
• Spectral theory of linear operators and spectral systems in Banach algebras
• Supercyclic subspaces: Spectral theory and weighted shifts
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