JournalsprimsVol. 43 , No. 2DOI 10.2977/prims/1201011786

Explicit Constructions of Dense Common Hypercyclic Subspaces

  • Juan B. Seoane-Sepulveda

    Kent State University, USA
Explicit Constructions of Dense Common Hypercyclic Subspaces cover

Abstract

We give an explicit construction of a dense infinite dimensional vector space of hypercyclic vectors for the weighted backward shift _T_λ (|λ| > 1). We also develop a technique to construct common hypercyclic vectors for countable families of these operators. The techniques developed here do not rely on the Baire category theorem or any kind of existence proof, as do most approaches to this problem.