Uniformly smooth partitions of unity on superreflexive Banach spaces

K. John; H. Toruńczyk; V. Zizler

Displaying similar documents to “Uniformly smooth partitions of unity on superreflexive Banach spaces”

Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces

K. John, V. Zizler (1977)

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Smooth partitions of unity on some non-separable Banach spaces

H. Toruńczyk (1973)

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Smoothness in Banach spaces. Selected problems.

Marian Fabian, Vicente Montesinos, Václav Zizler (2006)

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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...

On non-midpoint locally uniformly rotund normability in Banach spaces.

Mirmostafaee, A.K. (2004)

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On WCG Banach spaces with norms which are uniformly differentiable in every direction

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Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis

Rychter, Jan (2000)

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*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the author’s MSc thesis written under the supervison of Professor V. Zizler. It is shown that a Banach space X admits an equivalent uniformly Gateaux differentiable norm if it has an unconditional basis and X* admits an equivalent norm which is uniformly rotund in every direction.

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Ji Gao, Ka-Sing Lau (1991)

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Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.

D. Azagra, J. Gómez, J. A. Jaramillo (1996)

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Uniform Eberlein Compacta and Uniformly Gâteaux Smooth Norms

Fabian, Marián, Hájek, Petr, Zizler, Václav (1997)

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* Supported by grants: AV ĈR 101-95-02, GAĈR 201-94-0069 (Czech Republic) and NSERC 7926 (Canada). It is shown that the dual unit ball BX∗ of a Banach space X∗ in its weak star topology is a uniform Eberlein compact if and only if X admits a uniformly Gâteaux smooth norm and X is a subspace of a weakly compactly generated space. The bidual unit ball BX∗∗ of a Banach space X∗∗ in its weak star topology is a uniform Eberlein compact if and only if X admits a weakly uniformly...