The Backward Shift and Two Infinite-Dimension Phenomena in Banach Spaces
The Backward Shift and Two Infinite-Dimension Phenomena in Banach Spaces
We consider the backward shift operator on a sequence Banach space in the context of two infinite-dimensional phenomena: the existence of topologically transitive operators, and the existence of entire analytic functions of the unbounded type. It is well known that the weighted backward shift (for an appropriated weight) is topologically …