3 papers
math.FA2026
Banach Gelfand Triples with Kernel Theorems via Equivalence Bimodules
Dimitri Bytchenkoff, Arvin Lamando, Franz Luef
Hilbert C*-modules whose coefficient C*-algebra is equipped with a finite faithful trace generate Banach Gelfand triples. This provides a natural setting for a function space inter…
math.FA2024
On Modulation and Translation Invariant Operators and the Heisenberg Module
Arvin Lamando, Henry McNulty
We investigate spaces of operators which are invariant under translations or modulations by lattices in phase space. The natural connection to the Heisenberg module is considered,…
math.OA2024
Linear Deformations of Heisenberg Modules and Gabor Frames
Malte Gerhold, Arvin Lamando, Franz Luef
Heisenberg modules over noncommutative tori may also be viewed as Gabor frames. Building on this fact, we relate to deformations of noncommutative tori a bundle of Banach spaces in…