4 papers
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…
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…
Representing Locally Hilbert Spaces and Functional Models for Locally Normal Operators
Aurelian Gheondea
The aim of this article is to explore in all remaining aspects the spectral theory of locally normal operators. In a previous article we proved the spectral theorem in terms of loc…
Notes on (the Birmak-Krein-Vishik theory on) selfadjoint extensions of semibounded symmetric operators
Tiberiu Constantinescu, Aurelian Gheondea
We give an explicit and versatile parametrization of all positive selfadjoint extensions of a densely defined, closed, positive operator. In addition, we identify the Friedrichs ex…