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math.FA2026
Functional Models of Abelian Locally von Neumann Algebras and Direct Integrals of Locally Hilbert Spaces
Aurelian Gheondea, Chaitanya J. Kulkarni, Santhosh Kumar Pamula
We obtain a functional model for an arbitrary Abelian locally von Neumann algebra acting on a representing locally Hilbert space under the assumption that the index directed set is…
math.DS2026
Forcing confidence: a Process Tracing approach with a dynamical systems model
Alexandra Gheondea-Eladi, Aurelian Gheondea
We propose a continuous time dynamical system model for tracing the evolution of confidence in a small decision making group by consensus with the possibility that a forcing factor…
math.FA2026
Localised Operator Valued Kernels Invariant under Actions of -Semigroupoids
Aurelian Gheondea
We consider positive semidefinite kernels which have values given by bounded linear operators on certain bundles of Hilbert spaces and which are invariant under actions of -semi…