English

A note on the surjectivity of operators on vector bundles over discrete spaces

Functional Analysis 2019-05-17 v1 Combinatorics

Abstract

In this note we give a short and self-contained proof for a criterion of Eidelheit on the solvability of linear equations in infinitely many variables. We use this criterion to study the surjectivity of magnetic Schr\"odinger operators on bundles over graphs.

Keywords

Cite

@article{arxiv.1905.06713,
  title  = {A note on the surjectivity of operators on vector bundles over discrete spaces},
  author = {Jannis Koberstein and Marcel Schmidt},
  journal= {arXiv preprint arXiv:1905.06713},
  year   = {2019}
}