Applications of fixed point theorems in the theory of invariant subspaces
Operator Algebras
2012-10-23 v1
Abstract
We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the existence of invariant subspaces for an operator on a Banach space.
Cite
@article{arxiv.1210.5557,
title = {Applications of fixed point theorems in the theory of invariant subspaces},
author = {Rafa Espínola and Miguel Lacruz},
journal= {arXiv preprint arXiv:1210.5557},
year = {2012}
}
Comments
13 pages, to appear in Fixed Point Theory and Applications