English

Symmetric Invariant Subspaces of Complexifications of Linear Operators

Functional Analysis 2010-12-21 v2

Abstract

We prove the existence of the invariant subspaces of some operators in a real Banach space. For example, linear isometries have invariant subspaces

Keywords

Cite

@article{arxiv.1012.3855,
  title  = {Symmetric Invariant Subspaces of Complexifications of Linear Operators},
  author = {K. V. Storozhuk},
  journal= {arXiv preprint arXiv:1012.3855},
  year   = {2010}
}

Comments

3 pages

R2 v1 2026-06-21T17:00:25.420Z