A new Banach space with Valdivia dual unit ball
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We give an example of a Banach space which admits no projectional resolution of the identity but whose dual unit ball in weak* topology is a Valdivia compact. This answers a question asked by M. Fabian, G. Godefroy and V. Zizler.
KeywordsBanach Space Compact Space Equivalent Norm Projectional Resolution Compact Hausdorff Space
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- [K5]O. Kalenda,Note on Markushevich bases in subspaces and quotients of Banach spaces, Bulletin de l’Académie Polonaise des Sciences, to appear.Google Scholar