# Dynamics of a Compact Operator

Authors: Teck-Cheong Lim
Journal: ISRN Mathematical Analysis
 (2011)

---

## Abstract

LetT:X→X be a compact linear (or more generally affine) operator
from a Banach space into itself. For each x∈X, the sequence of iterates Tnx, n=0, 1, … and its averages (1/k)∑k=0nTk−1x,n=0, 1, … are either
bounded or approach infinity.


---

## Body


---

*Source: 281737-2011-02-16.xml*