English

Algebraic Elements and Invariant Subspaces

General Mathematics 2009-03-10 v1

Abstract

We prove that if a completely non-unitary contraction T in L(H) has a non-trivial algebraic element h, then T has a non-trivial invariant subspace.

Keywords

Cite

@article{arxiv.0903.1350,
  title  = {Algebraic Elements and Invariant Subspaces},
  author = {Yun-Su Kim},
  journal= {arXiv preprint arXiv:0903.1350},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T12:19:25.595Z