3 papers
math.PR2025
Feller property and convergence for semigroups of time-changed processes
Ali BenAmor, Kazuhiro Kuwae
We give a substitute to Feller property for semigroups of time-changed processes; under some conditions this leads to establish sufficient (new) conditions for the semigroups to be…
math.FA2025
Strongly continuous fields of operators over varying Hilbert spaces
Ali BenAmor, Batu Güneysu, Thomas Kalmes +1
After introducing a natural notion of continuous fields of locally convex spaces, we establish a new theory of strongly continuous families of possibly unbounded self-adjoint opera…
math.FA2024
Continuity aspects for traces of Dirichlet forms with respect to monotone weak convergence of G-Kato measures
Ali BenAmor
We investigate some analytic properties of traces of Dirichlet forms with respect to measures satisfying Hardy-type inequality. Among other results we prove convergence of spectra,…