Seoane Sepúlveda, Juan Benigno2023-06-202023-06-2020070034-531810.2977/prims/1201011786https://hdl.handle.net/20.500.14352/50464We give an explicit construction of a dense infinite dimensional vector space of hypercyclic vectors for the weighted backward shift T-lambda (vertical bar lambda vertical bar > 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.engjournal articlehttp://www.kurims.kyoto-u.ac.jp/~prims/pdf/43-2/43-2-17.pdfrestricted access517.98Hypercyclic subspacesWeighted shiftCommon hypercyclic vectorsAnálisis funcional y teoría de operadores