Automorphisms in Spaces of Continuous Functions on Valdivia Compacta

نویسنده

  • ANTONIO AVILÉS
چکیده

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(Γ). Nevertheless, when K is an Eberlein compact of finite height such that C(K) is not isomorphic to c0(Γ), all isomorphism between subspaces of C(K) of size less than אω extend to automorphisms of C(K).

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تاریخ انتشار 2009