English

Arveson dichotomy and essential fractality

Operator Algebras 2011-07-27 v1

Abstract

The notions of fractal and essentially fractal algebras of approximation sequences and of the Arveson dichotomy have proved extremely useful for several spectral approximation problems. The purpose of this short note is threefold: to present a short new proof of the fractal restriction theorem, to relate essential fractality with Arveson dichotomy, and to derive a restriction theorem for essential fractality.

Keywords

Cite

@article{arxiv.1107.5205,
  title  = {Arveson dichotomy and essential fractality},
  author = {Steffen Roch},
  journal= {arXiv preprint arXiv:1107.5205},
  year   = {2011}
}

Comments

19 pages

R2 v1 2026-06-21T18:42:21.422Z