Hankel operators between Köthe spaces

This paper is about the operators defined between Köthe spaces whose associated matrix is a Hankel matrix. After demonstrating how these operators are defined, the conditions for their continuity and compactness are given. It is shown that the backward and forward shift operators are mean ergodic and Cesáro bounded by establishing a relationship between the backward and forward shift operators and Hankel and Toeplitz operators on power series spaces.