Complemented hypercyclic subspaces
Journal article, 2007

A continuous linear operator T : X -> X is said to be hypercyclic if there exists a vector x is an element of X, called hypercyclic for T, such that {T(n)x}(n >= 0) is dense. A hypercyclic subspace for T is an infinite dimensional closed subspace H subset of X whose nonzero vectors are hypercyclic for T. Criterions for the existence of hypercyclic subspaces have been studied intensively lately in the setting of Banach and Frechet spaces. We study here conditions for the existence of complemented hypercyclic subspaces.

Frechet space

hypercyclic subspace

hypercyclicity spectrum

OPERATORS

MANIFOLDS

UNIVERSAL

DENSE

INVARIANT

complemented subspace

BANACH-SPACES

VECTORS

Author

Henrik Petersson

Chalmers, Mathematical Sciences

University of Gothenburg

Other publications Research

Houston Journal of Mathematics

0362-1588 (ISSN)

Vol. 33 2 541-553

Subject Categories

Mathematics

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3/27/2020

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