This is an announcement for the paper "A Banach space in which every injective operator is surjective" by Antonio Aviles and Piotr Koszmider.

Abstract: We construct an infinite dimensional Banach space of continuous functions C(K) such that every one-to-one operator on C(K) is onto.

Archive classification: math.FA math.GN

Submitted from: piotr.math@gmail.com

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

http://front.math.ucdavis.edu/1209.3042

or

http://arXiv.org/abs/1209.3042