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math.FA2026

Tame Factorization Property II

Buket Can Bahadır, Nazlı Doğan

We investigate the relationship between the tame factorization property, denoted by $TF$ and introduced in the companion paper \cite{CDI}, and the DN- $Ω$ type linear top…

math.FA2026

Tame Factorization Property I

Buket Can Bahadır, Nazlı Doğan

We introduce the \emph{tame factorization property} for triples of Fréchet spaces: a triple $(E, G, F)$ has the tame factorization property, denoted by $(E, G, F) \in TF$ , i…

math.FA2026

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

NazlÄ± DoÄan

We characterize the topologizability and power boundedness of convolution and dual convolution operators on power series spaces. We determine necessary conditions for a Toeplitz op…