Numerically hypercyclic polynomials

DOI10.1007/s00013-012-0445-4zbMath1264.47013OpenAlexW2091399356MaRDI QIDQ1925817

Hyun Gwi Song, Sung Guen Kim, Alfred Peris Manguillot

Publication date: 19 December 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0445-4

zbMATH Keywords

hypercyclic polynomialsnumerically hypercyclic polynomials

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Multilinear and polynomial operators (47H60) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

Orbits of homogeneous polynomials on Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerically hypercyclic operators
• Existence of hypercyclic polynomials on complex Fréchet spaces
• Hypercyclic operators on non-normable Fréchet spaces
• Hereditarily hypercylic operators
• Existence of hypercyclic operators on topological vector spaces
• Chaotic polynomials on Banach spaces.
• Hypercyclic and cyclic vectors
• On the polynomial numerical index of the real spaces \(c_{0}, \ell _{1}\) and \(\ell _{\infty }\)
• CHAOTIC POLYNOMIALS ON SEQUENCE AND FUNCTION SPACES
• A Banach Space which Admits No Chaotic Operator
• CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS
• On hypercyclic operators on Banach spaces
• Invariant manifolds of hypercyclic vectors for the real scalar case
• ON ORBITS OF POLYNOMIAL MAPS IN BANACH SPACES
• Hypercyclic Weighted Shifts
• Norm and Numerical Radius of 2-homogeneous Polynomials on the Real Space l_p², (1 < p > ∞)
• THE POLYNOMIAL NUMERICAL INDEX OF A BANACH SPACE
• On orbits of elements

This page was built for publication: Numerically hypercyclic polynomials