Automorphisms in spaces of continuous functions on Valdivia compacta
Functional Analysis
2009-03-05 v1 General Topology
Abstract
We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c0(I). Nevertheless, when K is an Eberlein compact of finite height such that C(K) is not isomorphic to c0(I), all isomorphism between subspaces of C(K) of size less than aleph_omega extend to automorphisms of C(K).
Cite
@article{arxiv.0903.0658,
title = {Automorphisms in spaces of continuous functions on Valdivia compacta},
author = {Antonio Avilés and Yolanda Moreno},
journal= {arXiv preprint arXiv:0903.0658},
year = {2009}
}