Research Article
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Year 2025, Early Access, 1 - 12
https://doi.org/10.15672/hujms.1560752

Abstract

References

  • [1] L. Crone and W. Robinson, Diagonal maps and diameters in Köthe spaces Israel J. Math. 20, 13-22, 1975.

Hankel Operators Between Köthe Spaces

Year 2025, Early Access, 1 - 12
https://doi.org/10.15672/hujms.1560752

Abstract

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.

References

  • [1] L. Crone and W. Robinson, Diagonal maps and diameters in Köthe spaces Israel J. Math. 20, 13-22, 1975.
There are 1 citations in total.

Details

Primary Language English
Subjects Operator Algebras and Functional Analysis
Journal Section Mathematics
Authors

Nazlı Doğan 0000-0001-7548-954X

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

Cite

APA Doğan, N. (2025). Hankel Operators Between Köthe Spaces. Hacettepe Journal of Mathematics and Statistics1-12. https://doi.org/10.15672/hujms.1560752
AMA Doğan N. Hankel Operators Between Köthe Spaces. Hacettepe Journal of Mathematics and Statistics. Published online January 1, 2025:1-12. doi:10.15672/hujms.1560752
Chicago Doğan, Nazlı. “Hankel Operators Between Köthe Spaces”. Hacettepe Journal of Mathematics and Statistics, January (January 2025), 1-12. https://doi.org/10.15672/hujms.1560752.
EndNote Doğan N (January 1, 2025) Hankel Operators Between Köthe Spaces. Hacettepe Journal of Mathematics and Statistics 1–12.
IEEE N. Doğan, “Hankel Operators Between Köthe Spaces”, Hacettepe Journal of Mathematics and Statistics, pp. 1–12, January 2025, doi: 10.15672/hujms.1560752.
ISNAD Doğan, Nazlı. “Hankel Operators Between Köthe Spaces”. Hacettepe Journal of Mathematics and Statistics. January 2025. 1-12. https://doi.org/10.15672/hujms.1560752.
JAMA Doğan N. Hankel Operators Between Köthe Spaces. Hacettepe Journal of Mathematics and Statistics. 2025;:1–12.
MLA Doğan, Nazlı. “Hankel Operators Between Köthe Spaces”. Hacettepe Journal of Mathematics and Statistics, 2025, pp. 1-12, doi:10.15672/hujms.1560752.
Vancouver Doğan N. Hankel Operators Between Köthe Spaces. Hacettepe Journal of Mathematics and Statistics. 2025:1-12.