English

Geometry and spectra of closed extensions of elliptic cone operators

Analysis of PDEs 2023-10-24 v2 Functional Analysis Spectral Theory

Abstract

We study the geometry of the set of closed extensions of index 0 of an elliptic cone operator and its model operator in connection with the spectra of the extensions, and give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.

Keywords

Cite

@article{arxiv.math/0410178,
  title  = {Geometry and spectra of closed extensions of elliptic cone operators},
  author = {Juan B. Gil and Thomas Krainer and Gerardo A. Mendoza},
  journal= {arXiv preprint arXiv:math/0410178},
  year   = {2023}
}

Comments

48 pages, revisited version to appear in Canadian Journal of Mathematics