In some symmetric spaces monotonicity properties can be reduced to the cone of rearrangements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00457964" target="_blank" >RIV/67985840:_____/16:00457964 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00010-015-0379-6" target="_blank" >http://dx.doi.org/10.1007/s00010-015-0379-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00010-015-0379-6" target="_blank" >10.1007/s00010-015-0379-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

In some symmetric spaces monotonicity properties can be reduced to the cone of rearrangements

Popis výsledku v původním jazyce

Geometric properties being the rearrangement counterparts of strict monotonicity, lower local uniform monotonicity and upper local uniform monotonicity in some symmetric spaces are considered. The relationships between strict monotonicity, upper local uniform monotonicity restricted to rearrangements and classical monotonicity properties (sometimes under some additional assumptions) are showed. It is proved that order continuity and lower uniform monotonicity properties for rearrangements of symmetric spaces together are equivalent to the classical lower local uniform monotonicity for any symmetric space over a sigma-finite complete and non-atomic measure space. It is also showed that in the case of order continuous symmetric spaces over a σ sigma-finite and complete measure space, upper local uniform monotonicity and its rearrangement counterpart shortly called ULUM* coincide.

Název v anglickém jazyce

In some symmetric spaces monotonicity properties can be reduced to the cone of rearrangements

Popis výsledku anglicky

Geometric properties being the rearrangement counterparts of strict monotonicity, lower local uniform monotonicity and upper local uniform monotonicity in some symmetric spaces are considered. The relationships between strict monotonicity, upper local uniform monotonicity restricted to rearrangements and classical monotonicity properties (sometimes under some additional assumptions) are showed. It is proved that order continuity and lower uniform monotonicity properties for rearrangements of symmetric spaces together are equivalent to the classical lower local uniform monotonicity for any symmetric space over a sigma-finite complete and non-atomic measure space. It is also showed that in the case of order continuous symmetric spaces over a σ sigma-finite and complete measure space, upper local uniform monotonicity and its rearrangement counterpart shortly called ULUM* coincide.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Aequationes Mathematicae

ISSN

0001-9054

e-ISSN

—

Svazek periodika

90

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CA - Kanada

Počet stran výsledku

13

Strana od-do

249-261

Kód UT WoS článku

000371829100023

EID výsledku v databázi Scopus

2-s2.0-84960433774