English

A generic threshold phenomena in weighted $\ell^2$

Functional Analysis 2025-05-27 v2 Classical Analysis and ODEs

Abstract

We consider threshold phenomenons in the context of weighted 2\ell^2-spaces. Our main result is a summable Baire category version of K\"orner's topological Ivashev-Musatov Theorem, which is proved to be optimal from several aspects.

Keywords

Cite

@article{arxiv.2505.15937,
  title  = {A generic threshold phenomena in weighted $\ell^2$},
  author = {Adem Limani},
  journal= {arXiv preprint arXiv:2505.15937},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-07-01T02:29:39.645Z