Somewhere dense orbit that is not dense on a complex Hilbert space

DOI10.1515/conop-2019-0005OpenAlexW2951796234MaRDI QIDQ2330341

Neema Wilberth, Marco Mpimbo, Santosh Kumar

Publication date: 21 October 2019

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2019-0005

zbMATH Keywords

orbitdense orbitsomewhere dense orbit\((n\)-tuplereal Hilbert space and complex Hilbert spaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• Hypercyclic tuples of operators and somewhere dense orbits
• Kronecker's theorem and Lehmer's problem for polynomials in several variables
• Existence of hypercyclic operators on topological vector spaces
• Hypercyclic semigroups and somewhere dense orbits.
• Hypercyclic and cyclic vectors
• Somewhere dense Cesàro orbits and rotations of Cesàro hypercyclic operators
• Somewhere dense orbits are everywhere dense
• Operators with hypercyclic Cesaro means
• Hypercyclic operators and rotated orbits with polynomial phases
• On orbits of elements
• Multi-hypercyclic operators are hypercyclic
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