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Smooth renormings of the Lebesgue-Bochner function space L-1(mu, X)
(or uniformly Gâteaux) smooth norm provided that X has such a norm, and that if X admits an equivalent Fréchet (resp. uniformly Fréchet) smooth norm, then L 1 (?,X) has an equivalent renorming whose restriction to...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Genericity of Fréchet smooth spaces
If a separable Banach space X contains an isometric copy of every separable reflexive Fréchet smooth Banach space, then X contains an isometric copy of every separable Banach space. The same conclusion holds if we consider separable...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Attainment and (sub)differentiability of the infimal convolution of a function and the square of the norm
Let X be a Banach space whose norm is simultaneously LUR and Gateaux (Fréchet) smooth. Under some assumptions, it is shown that the infimal convolution of a fairly general function on X and the square of the norm is generically stro...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Smooth Functions on C(K).
We show that every Fréchet differentiable real function on C(K), K scatered with locally uniformly continuous derivative has locally compact derivative. Using this and similar results, we investigate the existence of C2-Fréchet ...
BA - Obecná matematika
- 1998 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An almost nowhere Fréchet smooth norm on superreflexive spaces.
Annotation not available...
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Smooth Approximations of Norms in Separable Banach Spaces
Let X be a separable real Banach space having a k-times continuously Fréchet differentiable (i.e. Ck-smooth) norm where kelement{1, ..., infinity}. We show that any equivalent norm on X can be approximated uniformly on bounded sets ...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Smooth Functions on co.
We show that every Fréchet differentiable real function on co with locally uniformly continuous derivative has locally compact derivative. Among the corollaries we obtain that there exists no surjective C2 smooth operator from co on...
BA - Obecná matematika
- 1998 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some remarks on smooth renormings of Banach spaces
We prove that in every separable Banach space X with a Schauder basis and a Ck-smooth norm it is possible to approximate, uniformly on bounded sets, every equivalent norm with a Ck-smooth one in a way that the approximation is impro...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Exact Filling of Figures with the Derivatives of Smooth Mappings Between Banach Spaces
, to ensure the existence of a Cn-smooth mapping f:X - Y with bounded support, and such that f(n)(X) = A, provided that X admits a Cn-smooth bump with bounded n-th-dimensional case, more restrictive conditions are required. We also ...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A C1 function which is nowhere strongly paraconvex and nowhere semiconcave
In each infinite-dimensional Banach space with Fréchet smooth norm there exists a C1 function which is nowhere strongly paraconvex and nowhere semiconcave......
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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