An elementary approach to some questions in higher order smoothness in Banach spaces.
M. Fabián, V. Zizler (1999)
Extracta Mathematicae
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Displaying similar documents to “Multismoothness in Banach spaces.”
An elementary approach to some questions in higher order smoothness in Banach spaces.
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 -smooth norms on separable Banach spaces
Marián J. Fabián, Václav Zizler (1999)
Czechoslovak Mathematical Journal
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Every separable Banach space with -smooth norm (Lipschitz bump function) admits an equivalent norm (a Lipschitz bump function) which is both uniformly Gâteaux smooth and -smooth. If a Banach space admits a uniformly Gâteaux smooth bump function, then it admits an equivalent uniformly Gâteaux smooth norm.
A Note on cotype of smooth spaces.
Robert Deville, Vaclav E. Zizler (1988)
Manuscripta mathematica
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Projections, skewness and related constants in real normed spaces.
Baronti, Marco, Papini, Pier Luigi (1992)
Mathematica Pannonica
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Stable smooth and extreme points, and reflexivity
Libor Veselý (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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-compactness in smooth topological spaces.
Park, Chun-Kee, Min, Won Keun, Kim, Myeong Hwan (2003)
International Journal of Mathematics and Mathematical Sciences
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Two renorming constructions related to a question of Anselone
V. Klee (1969)
Studia Mathematica
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Smoothness in Banach spaces. Selected problems.
Marian Fabian, Vicente Montesinos, Václav Zizler (2006)
RACSAM
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This is a short survey on some recent as well as classical results and open problems in smoothness and renormings of Banach spaces. Applications in general topology and nonlinear analysis are considered. A few new results and new proofs are included. An effort has been made that a young researcher may enjoy going through it without any special pre-requisites and get a feeling about this area of Banach space theory. Many open problems of different level of difficulty are discussed. For...
Functions locally dependent on finitely many coordinates.
Petr Hájek, Václav Zizler (2006)
RACSAM
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The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher smoothness (C) is involved. In this note we survey most of the main results in this area, and indicate many old as well as new open problems.