paper

Minimal vectors in arbitrary Banach spaces

arXiv:math/0301269

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.

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

Minimal vectors in arbitrary Banach spaces · wovepaper