Multismoothness in Banach spaces.

Lin, Bor-Luh; Rao, T.S.S.R.K.

Displaying similar documents to “Multismoothness in Banach spaces.”

An elementary approach to some questions in higher order smoothness in Banach spaces.

M. Fabián, V. Zizler (1999)

Extracta Mathematicae

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Extension of smooth subspaces in Lindenstrauss spaces

V. P. Fonf, P. Wojtaszczyk (2014)

Studia Mathematica

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It follows from our earlier results [Israel J. Math., to appear] that in the Gurariy space G every finite-dimensional smooth subspace is contained in a bigger smooth subspace. We show that this property does not characterise the Gurariy space among Lindenstrauss spaces and we provide various examples to show that C(K) spaces do not have this property.

On uniformly Gâteaux smooth $C^{(n)}$ -smooth norms on separable Banach spaces

Marián J. Fabián, Václav Zizler (1999)

Czechoslovak Mathematical Journal

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Every separable Banach space with $C^{(n)}$ -smooth norm (Lipschitz bump function) admits an equivalent norm (a Lipschitz bump function) which is both uniformly Gâteaux smooth and $C^{(n)}$ -smooth. If a Banach space admits a uniformly Gâteaux smooth bump function, then it admits an equivalent uniformly Gâteaux smooth norm.