3 papers
math.FA2026
Spectral embedding through weak* limit of finite-dimensional approximations
Fabrice Nonez
The scope of this text is to study a process that induces another proof of the Spectral Embedding Theorem: that any densely defined symmetric operator can be extended by a multipli…
math.SP2025
A nonstandard approach to the direct integral version of the Spectral Theorem
Isaac Goldbring, Fabrice Nonez
We use nonstandard methods to prove the direct integral version of the Spectral Theorem for Unbounded Self-adjoint Operators. Our proof avoids the standard reduction to the case of…
math.FA2024
Spectral equivalences through nonstandard samplings
Fabrice Nonez
The goal of this paper is to introduce a process that generates, given Hilbert space and symmetric operator , an embedding of into an -space through which is ex…