English

Toeplitz Operators Defined between K\"othe Spaces

Functional Analysis 2024-10-01 v3

Abstract

The aim of this paper is to define Toeplitz operators between K\"othe spaces, especially power series spaces. We determine the conditions for continuity and compactness of these operators. We define the concept of S-tameness of a family of continuous operators. We construct some conditions on S-tameness for the families consisting of Toeplitz operators.

Keywords

Cite

@article{arxiv.2312.13609,
  title  = {Toeplitz Operators Defined between K\"othe Spaces},
  author = {Nazlı Doğan},
  journal= {arXiv preprint arXiv:2312.13609},
  year   = {2024}
}

Comments

20 pages, accepted by Filomat

R2 v1 2026-06-28T13:58:22.314Z