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 continuity and compactness of these operators are constructed. It is shown that the backward and forward shift operators are mean ergodic and Ces´aro bounded by establishing a relationship between the backward and forward shift operators and Hankel and Toeplitz operators on power series spaces.
Primary Language | English |
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Subjects | Operator Algebras and Functional Analysis |
Journal Section | Mathematics |
Authors | |
Early Pub Date | January 27, 2025 |
Publication Date | |
Submission Date | October 3, 2024 |
Acceptance Date | December 19, 2024 |
Published in Issue | Year 2025 Early Access |