Hankel Operators Defined Between K\"othe Spaces
Functional Analysis
2024-10-01 v2
Abstract
This paper is about the operators defined between K\"othe 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.
Cite
@article{arxiv.2404.00574,
title = {Hankel Operators Defined Between K\"othe Spaces},
author = {Nazlı Doğan},
journal= {arXiv preprint arXiv:2404.00574},
year = {2024}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:2312.13609