English

On the invariant subspace problem in Hilbert spaces

Functional Analysis 2024-04-09 v2

Abstract

In this paper we show that every bounded linear operator T on a Hilbert space H has a closed non-trivial invariant subspace.

Keywords

Cite

@article{arxiv.2305.15442,
  title  = {On the invariant subspace problem in Hilbert spaces},
  author = {Per H. Enflo},
  journal= {arXiv preprint arXiv:2305.15442},
  year   = {2024}
}

Comments

27 pages, 1 figure. This version of the paper simply contains a more detailed presentation of the previous one

R2 v1 2026-06-28T10:45:03.915Z