Work

Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces

Year: 2026

Type: article

Abstract: We characterize the topologizability and power boundedness of convolution and dual convolution operators on power series spaces. We determine necessary conditions for a Toeplitz operator to be m-topologizable, and power bounded on $$\Lambda _{1}(n)$$ Λ 1 ( n ) and $$\Lambda _{\infty }(n)$$ Λ ∞ ( n ) , and consequently on $$H(\mathbb {C})$$ H ( C ) and $$H(\mathbb {D})$$ H ( D ) .

Source: Complex Analysis and Operator Theory

DOI: 10.1007/s11785-026-01921-9

Author: Nazlı Doğan

Institution: Fatih Sultan Mehmet Waqf University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Fatih Sultan Mehmet Vakıf Üniversitesi