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math.FA2026
Compact disjointness preserving operators on Banach -modules
Arkady Kitover, Mehmet Orhon
We show that some well known results concerning compact disjointness preserving operators on Banach lattices can be extended to the more general framework of finitely generated Ban…
math.FA2025
Spectrum of weighted composition operators. Part XII. Kamowitz - Scheinberg theorem revisited
Arkady Kitover, Mehmet Orhon
The well-known Kamowitz - Scheinberg theorem states that if is an automorphism of a commutative semi-simple Banach algebra and $U^n \neq I, n \in \mathds{N}$, then the spectrum…
math.FA2024
Spectrum of Weighted Composition Operators. Part X. The spectrum and essential spectra of weighted automorphisms of the polydisc algebra
Arkady Kitover, Mehmet Orhon
We investigate the spectrum and the essential spectra of weighted automorphisms of the polydisc algebra . In the case we provide a detailed and, in most cases,…