A smooth non-complete Daugavet space is exhibited, and quasilacunary Müntz subspaces of C[0,1] yield quotients without the Daugavet property but with preserved slice diameter two.
Ultraproducts in Banach space theory.J
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About smooth and non-poor subspaces of Daugavet spaces
A smooth non-complete Daugavet space is exhibited, and quasilacunary Müntz subspaces of C[0,1] yield quotients without the Daugavet property but with preserved slice diameter two.