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

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 1(n) and ∞(n), and consequently on H(C) and H(D).

Publication Details

Journal
DSpace@FSM (FSM Vakif University)
Published
2026-01-01
DOI
https://doi.org/10.1007/s11785-026-01921-9?utm_source=getftr&utm_medium=getftr&utm_campaign=getftr_pilot&getft_integrator=scopus
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

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

DSpace@FSM (FSM Vakif University)
Holomorphic and Operator Theory
article

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

article en

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 1(n) and ∞(n), and consequently on H(C) and H(D).

DSpace@FSM (FSM Vakif University)
Openalex Percentile: Top 5%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces · DSpace@FSM (FSM Vakif University) (2026) | TGRS Research Map | TGRS