For weighted backward shifts on rooted directed trees, the paper proves that a hypercyclic algebra exists exactly when a stronger supremum growth condition holds on ell-p spaces, and it shows hypercyclicity does not imply algebrability on tree ell-p spaces.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Hypercyclic algebras for weighted shifts on trees
For weighted backward shifts on rooted directed trees, the paper proves that a hypercyclic algebra exists exactly when a stronger supremum growth condition holds on ell-p spaces, and it shows hypercyclicity does not imply algebrability on tree ell-p spaces.