English

The A-model with mutually equal model parameters can lead to a Hilbert space model

Functional Analysis 2020-08-19 v1

Abstract

It is known that the A-model for higher order singular perturbations can be considered as a Hilbert space model if the model parameters are mutually distinct, and that it is necessarily a Pontryagin space model if otherwise. In this note we demonstrate that the A-model with mutually equal model parameters can nonetheless lead to a Hilbert space model if the extensions in the model space are instead described by suitable linear relations.

Keywords

Cite

@article{arxiv.2008.07780,
  title  = {The A-model with mutually equal model parameters can lead to a Hilbert space model},
  author = {Rytis Jursenas},
  journal= {arXiv preprint arXiv:2008.07780},
  year   = {2020}
}
R2 v1 2026-06-23T17:55:48.564Z