On the moduli and characteristic of monotonicity in Orlicz-Lorentz function spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00430333" target="_blank" >RIV/67985840:_____/13:00430333 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the moduli and characteristic of monotonicity in Orlicz-Lorentz function spaces
Original language description
In this paper we calculate the characteristic of monotonicity of Orlicz-Lorentz function spaces Lambda Phi,omega. Since degenerate Orlicz functions phi and degenerate weight functions w are also admitted, the investigations concern the most possible wideclass of Orlicz-Lorentz function spaces. These results concern both cases - an infinite and a finite non-atomic measure space, although in case of the finite measure the results are much more interesting. Let us recall that calculating of the characteristic of monotonicity of a Banach lattice is of great interest because of the result of Betiuk-Pilarska and Prus [2] stating that if a Banach lattice X has this characteristic strictly smaller then 1 and X is weakly orthogonal, then it has the weak fixedpoint property (see [29]).
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F10%2F1920" target="_blank" >GAP201/10/1920: Contemporary function spaces theory and applications</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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