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 the interpretation of…
math.FA2025
Localised frames for tensor product spaces
Dimitri Bytchenkoff, Michael Speckbacher, Peter Balazs
In this paper, we investigate whether the tensor product of two frames, each individually localised with respect to a spectral matrix algebra, is also localised with respect to a s…
math.FA2024
Kernel theorems for operators on co-orbit spaces associated with localised frames
Dimitri Bytchenkoff, Michael Speckbacher, Peter Balazs
Kernel theorems, in general, provide a convenient representation of bounded linear operators. For the operator acting on a concrete function space, this means that its action on an…