English

On the existence of global saturation for spectral regularization methods with optimal qualification

Functional Analysis 2011-08-23 v1

Abstract

A family of real functions {g_\alpha} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualification guaranteeing the existence of saturation are established. Appropriate characterizations of both the saturation function and the saturation set are found and some examples are provided.

Keywords

Cite

@article{arxiv.1108.4072,
  title  = {On the existence of global saturation for spectral regularization methods with optimal qualification},
  author = {Gisela L. Mazzieri and Ruben D. Spies and Karina G. Temperini},
  journal= {arXiv preprint arXiv:1108.4072},
  year   = {2011}
}

Comments

19 pages

R2 v1 2026-06-21T18:53:05.368Z