[Banach] Abstract of a paper by Rafa Espinola and Miguel Lacruz

This is an announcement for the paper "Applications of fixed point theorems in the theory of invariant subspaces" by Rafa Espinola and Miguel Lacruz.

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.

Archive classification: math.OA

Mathematics Subject Classification: 47A15, 47H10

Remarks: 13 pages, to appear in Fixed Point Theory and Applications

Submitted from: lacruz@us.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1210.5557

or

http://arXiv.org/abs/1210.5557