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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F12%3A10127326%21RIV13-GA0-11320___
rdf:type
n6:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.4064/sm209-1-6
dcterms:description
If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball B-E* that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of B-E*, generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes of L-1-preduals which were introduced by S. A. Argyros, G. Godefroy and H. P. Rosenthal (2003). Also, several examples witnessing natural limits of our positive results are presented. If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball B-E* that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of B-E*, generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes of L-1-preduals which were introduced by S. A. Argyros, G. Godefroy and H. P. Rosenthal (2003). Also, several examples witnessing natural limits of our positive results are presented.
dcterms:title
Descriptive properties of elements of biduals of Banach spaces Descriptive properties of elements of biduals of Banach spaces
skos:prefLabel
Descriptive properties of elements of biduals of Banach spaces Descriptive properties of elements of biduals of Banach spaces
skos:notation
RIV/00216208:11320/12:10127326!RIV13-GA0-11320___
n6:predkladatel
n12:orjk%3A11320
n3:aktivita
n21:S n21:P
n3:aktivity
P(GA201/07/0388), S
n3:cisloPeriodika
1
n3:dodaniDat
n11:2013
n3:domaciTvurceVysledku
n15:3116085
n3:druhVysledku
n19:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n20:predkladatel
n3:idSjednocenehoVysledku
130230
n3:idVysledku
RIV/00216208:11320/12:10127326
n3:jazykVysledku
n8:eng
n3:klicovaSlova
Baire classes and intrinsic Baire classes of Banach spaces; L-1-preduals; extreme points; fragmentable functions; strongly affine functions; Baire and Borel functions
n3:klicoveSlovo
n5:strongly%20affine%20functions n5:fragmentable%20functions n5:extreme%20points n5:Baire%20and%20Borel%20functions n5:Baire%20classes%20and%20intrinsic%20Baire%20classes%20of%20Banach%20spaces n5:L-1-preduals
n3:kodStatuVydavatele
PL - Polská republika
n3:kontrolniKodProRIV
[01C39D0243EE]
n3:nazevZdroje
Studia Mathematica
n3:obor
n9:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n10:GA201%2F07%2F0388
n3:rokUplatneniVysledku
n11:2012
n3:svazekPeriodika
209
n3:tvurceVysledku
Spurný, Jiří Ludvík, Pavel
n3:wos
000306256000006
s:issn
0039-3223
s:numberOfPages
29
n4:doi
10.4064/sm209-1-6
n14:organizacniJednotka
11320