Valdivia lagta上连续函数空间的自同构
Automorphisms in spaces of continuous functions on Valdivia compacta
摘要：
证明了除了空间c0（I）之外，不存在具有Valdivia紧的K连续象的C（K）形式的自守巴拿赫空间.然而，当K是有限高的Eberlein紧，使得C（K）不同构于c0（I）时，C（K）中大小小于aleph_omega的子空间之间的同构推广到C（K）的自同构.
英文摘要：
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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