English

Recent perspectives on the Invariant Subspace Problem

Functional Analysis 2025-07-30 v1

Abstract

We review recent work connected with the invariant subspace problem for operators, in particular new developments in the last 15 years. In particular, we include discussions of almost-invariant subspaces, universal operators, specific classes of operators and new results in the framework of Banach spaces.

Keywords

Cite

@article{arxiv.2507.21834,
  title  = {Recent perspectives on the Invariant Subspace Problem},
  author = {I. Chalendar and J. R. Partington},
  journal= {arXiv preprint arXiv:2507.21834},
  year   = {2025}
}
R2 v1 2026-07-01T04:24:06.557Z