CYCCYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES

摘要

We identify the functions whose polynomial multiples are weak* dense in Q p spaces and prove that if | f (z) | ≥ | g(z) | and g is cyclic in Q p , then f is cyclic in Q p . We also show that the multiplication operator M z on Q p spaces is cellular indecomposable.