This is an announcement for the paper "Automorphisms in spaces of continuous functions on Valdivia compacta" by Antonio Aviles and Yolanda Moreno.

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).

Archive classification: math.FA math.GN

Mathematics Subject Classification: 46B26

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

The source file(s), AutomorficosValdivia.tex: 19190 bytes, is(are) stored in gzipped form as 0903.0658.gz with size 7kb. The corresponding postcript file has gzipped size 61kb.

Submitted from: avileslo@um.es

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