3 citations
8 papers
Spectrum of Weighted Composition Operators Part VII Essential spectra of weighted composition operators on . The case of non-invertible homeomorphisms
Arkady Kitover, Mehmet Orhon
We provide a complete description of the spectrum and the essential spectra of weighted composition operators on in the case when the map is a non-invertible ho…
The Online Resources Shared on Twitter About the #MeToo Movement: The Pareto Principle
Iman Tahamtan, Javad Seif
In this paper we examine the most influential resources shared on Twitter about the #MeToo movement. We also examine whether a small proportion of domain names and URLs (e.g. 20%)…
Weak Sequential Completeness in Banach -modules of finite multiplicity
Arkady Kitover, Mehmet Orhon
A well known result of Lozanovsky states that a Banach lattice is weakly sequentially complete if and only if it does not contain a copy of . In the current paper we extend…
Spectrum of Weighted Composition Operators. Part III. Essential spectra of some disjointness preserving operators on Banach lattices
Arkady Kitover
We describe essential (in particular Fredholm and semi-Fredholm) spectra of operators on Banach lattices of the form , where is a central operator and is a disjointne…
Reflexivity of Banach -modules via the reflexivity of Banach lattices
Arkady Kitover, Mehmet Orhon
We extend the well known criteria of reflexivity of Banach lattices due to Lozanovsky and Lotz to the class of finitely generated Banach - modules. Namely we prove that a fin…
Spectrum of Weighted Composition Operators. Part II. Weighted composition operators on subspaces of Banach lattices
Arkady Kitover
We describe the spectrum of weighted -isomorphisms of Banach lattices restricted on closed subspaces that are "rich" enough to preserve some "memory" of the order structure of t…