Numerically hypercyclic operators

DOI10.1007/s00020-012-1944-1zbMath1298.47016OpenAlexW2168966995MaRDI QIDQ434296

Hyun Gwi Song, Sung Guen Kim, Alfred Peris Manguillot

Publication date: 10 July 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1944-1

zbMATH Keywords

weighted shift operatorsnumerically hypercyclic operators

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

Ergodic and dynamical properties of \(m\)-isometries ⋮ Numerically hypercyclic polynomials ⋮ Dynamical classification for complex matrices ⋮ Orbits of homogeneous polynomials on Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear chaos
• Existence of hypercyclic operators on topological vector spaces
• Hypercyclic and cyclic vectors
• The invariant subspace problem for a class of Banach spaces. II: Hypercyclic operators
• On the polynomial numerical index of the real spaces \(c_{0}, \ell _{1}\) and \(\ell _{\infty }\)
• Multiples of hypercyclic operators
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• On hypercyclic operators on Banach spaces
• Hypercyclic and chaotic weighted shifts
• Hypercyclic Weighted Shifts
• CHAOS FOR BACKWARD SHIFT OPERATORS
• On a conjecture of D. Herrero concerning hypercyclic operators
• 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
• Multi-hypercyclic operators are hypercyclic

This page was built for publication: Numerically hypercyclic operators