English

Minimal vectors in arbitrary Banach spaces

Functional Analysis 2007-05-23 v1

Abstract

We extend the method of minimal vectors to arbitrary Banach spaces. It is proved, by a variant of the method, that certain quasinilpotent operators on arbitrary Banach spaces have hyperinvariant subspaces.

Keywords

Cite

@article{arxiv.math/0301269,
  title  = {Minimal vectors in arbitrary Banach spaces},
  author = {Vladimir G. Troitsky},
  journal= {arXiv preprint arXiv:math/0301269},
  year   = {2007}
}

Comments

6 pages. To appear in Proc. Amer. Math. Soc