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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10210855%21RIV15-MSM-11320___
rdf:type
skos:Concept n18:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.2478/s11533-013-0400-z
dcterms:description
We compare two methods of proving separable reduction theorems in functional analysis - the method of rich families and the method of elementary submodels. We show that any result proved using rich families holds also when formulated with elementary submodels and the converse is true in spaces with fundamental minimal system and in spaces of density aleph_1. We do not know whether the converse is true in general. We apply our results to show that a projectional skeleton may be without loss of generality indexed by ranges of its projections. We compare two methods of proving separable reduction theorems in functional analysis - the method of rich families and the method of elementary submodels. We show that any result proved using rich families holds also when formulated with elementary submodels and the converse is true in spaces with fundamental minimal system and in spaces of density aleph_1. We do not know whether the converse is true in general. We apply our results to show that a projectional skeleton may be without loss of generality indexed by ranges of its projections.
dcterms:title
Rich families and elementary submodels Rich families and elementary submodels
skos:prefLabel
Rich families and elementary submodels Rich families and elementary submodels
skos:notation
RIV/00216208:11320/14:10210855!RIV15-MSM-11320___
n4:aktivita
n9:S n9:P n9:I
n4:aktivity
I, P(GAP201/12/0290), S
n4:cisloPeriodika
7
n4:dodaniDat
n14:2015
n4:domaciTvurceVysledku
n5:8577048 n5:6179657
n4:druhVysledku
n6:J
n4:duvernostUdaju
n12:S
n4:entitaPredkladatele
n16:predkladatel
n4:idSjednocenehoVysledku
42711
n4:idVysledku
RIV/00216208:11320/14:10210855
n4:jazykVysledku
n20:eng
n4:klicovaSlova
Rich family; Projectional skeleton; Separable reduction; Elementary submodel
n4:klicoveSlovo
n7:Elementary%20submodel n7:Projectional%20skeleton n7:Rich%20family n7:Separable%20reduction
n4:kodStatuVydavatele
PL - Polská republika
n4:kontrolniKodProRIV
[72224E335BE7]
n4:nazevZdroje
Central European Journal of Mathematics
n4:obor
n15:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:projekt
n10:GAP201%2F12%2F0290
n4:rokUplatneniVysledku
n14:2014
n4:svazekPeriodika
12
n4:tvurceVysledku
Cúth, Marek Kalenda, Ondřej
n4:wos
000334180800008
s:issn
1895-1074
s:numberOfPages
14
n17:doi
10.2478/s11533-013-0400-z
n19:organizacniJednotka
11320