Automorphisms in spaces of continuous functions on Valdivia compacta

Details Automorphisms in spaces of continuous functions on Valdivia compacta Automorphisms in spaces of continuous functions on Valdivia compacta

2009-03-03

arxiv.org/abs/0903.0658v1

Topology Appl. 155, No. 17-18, 2027-2030 (2008)

Mathematics

Functional Analysis

Scientific paper

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).

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