Chaotic polynomials on Banach spaces.

DOI10.1016/S0022-247X(03)00547-XzbMath1042.46019OpenAlexW2060897400MaRDI QIDQ1417981

Alfred Peris Manguillot

Publication date: 6 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00547-x

zbMATH Keywords

chaosJulia setspolynomial operatorshypercyclic vectors

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (11)

Universal families and hypercyclic operators ⋮ Mixing, simultaneous universal and disjoint universal backward \(\Phi\)-shifts ⋮ Numerically hypercyclic polynomials ⋮ CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS ⋮ Hypercyclic homogeneous polynomials on \(H(\mathbb{C})\) ⋮ On the existence of polynomials with chaotic behaviour ⋮ Universality vs. non-normality of families of meromorphic functions ⋮ Backward \(\varPhi\)-shifts and universality ⋮ CHAOTIC POLYNOMIALS ON SEQUENCE AND FUNCTION SPACES ⋮ Existence of hypercyclic polynomials on complex Fréchet spaces ⋮ Orbits of homogeneous polynomials on Banach spaces

Cites Work

• On Devaney's Definition of Chaos
• Universal families and hypercyclic operators
• ON ORBITS OF POLYNOMIAL MAPS IN BANACH SPACES
• Chaotic polynomials on Fréchet spaces
• CHAOS FOR BACKWARD SHIFT OPERATORS
• On orbits of elements

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