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In some symmetric spaces monotonicity properties can be reduced to the cone of rearrangements
symmetric spaces are considered. The relationships between strict monotonicity, upper of symmetric spaces together are equivalent to the classical lower local uniform monotonicity for any sym...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Moduli and Characteristics of Monotonicity in Some Banach Lattices
Characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1. The characteristic of monotonicity of Orlicz function spaces
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Amalgamations of classes of Banach spaces with a monotone basis
with a monotone Schauder basis. For example, we prove that if C is a set of separable Banach a separable reflexive Banach space that is isometrically universal for C.It was proved by Argyros and Dodos that, for ma...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Non-universal families of separable Banach spaces
We prove that if C is a family of separable Banach spaces which is analytic universal for all separable Banach spaces, then there exists a separable Banach space with a monotone Schauder ...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Monotonicity of Schauder basis under UR of UF renormings
Let X be a separable superreflexive Banach space with a Schauder basis. We prove the existence of an equivalent uniformly smooth ( resp. uniformly rotund ) renorming under which the given basis is monotone....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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 concl...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The isomorphic Kottman constant of a Banach space
We show that the Kottman constant $ K(cdot )$, together with its symmetric interpolation schema. Moreover, we show that $ K(X)cdot K(X^*)geqslant 2$ for every infinite-dimensional Banach space $ X...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Monotonically controlled mappings
we study the classes of mappings between finite and infinite dimensional Banach spaces which are monotone and mappings which are differences of monotone mappings (DM). We prove the Rado-Reichelderfer estimate for t...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A note on symmetric separation in Banach spaces
We present some new results on the symmetric Kottman constant Ks (X) of a Banach space X and its relationship with the Kottman constant. We show that Ks (X) > 1, for every infinite-dimensional Banach space...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the moduli and characteristic of monotonicity in Orlicz-Lorentz function spaces
of the characteristic of monotonicity of a Banach lattice is of great interest because of the resultIn this paper we calculate the characteristic of monotonicity of Orlicz-Lorentz function spaces Lambda Phi,omega....
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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