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Statements

Subject Item
n2:RIV%2F47813059%3A19610%2F12%3A%230000356%21RIV13-MSM-19610___
rdf:type
skos:Concept n11:Vysledek
rdfs:seeAlso
http://link.springer.com/article/10.1134%2FS0001434612010075
dcterms:description
We describe a construction of convex functions on infinite-dimensional spaces and apply this construction to give an illustration to a theorem of Borwein-Fabian from [1]. Namely, we give a simple explicit example of a continuous convex function on l(p), p >= 1, which is everywhere compactly differentiable, but not Frechet differentiable at zero. We describe a construction of convex functions on infinite-dimensional spaces and apply this construction to give an illustration to a theorem of Borwein-Fabian from [1]. Namely, we give a simple explicit example of a continuous convex function on l(p), p >= 1, which is everywhere compactly differentiable, but not Frechet differentiable at zero.
dcterms:title
A construction of convex functions A construction of convex functions
skos:prefLabel
A construction of convex functions A construction of convex functions
skos:notation
RIV/47813059:19610/12:#0000356!RIV13-MSM-19610___
n11:predkladatel
n12:orjk%3A19610
n5:aktivita
n6:Z
n5:aktivity
Z(MSM4781305904)
n5:cisloPeriodika
1-2
n5:dodaniDat
n13:2013
n5:domaciTvurceVysledku
n20:4052374
n5:druhVysledku
n17:J
n5:duvernostUdaju
n19:S
n5:entitaPredkladatele
n21:predkladatel
n5:idSjednocenehoVysledku
120128
n5:idVysledku
RIV/47813059:19610/12:#0000356
n5:jazykVysledku
n16:eng
n5:klicovaSlova
topological vector space; normed space; convex function; Frechet differentiability; Gateaux differentiability; compact differentiability
n5:klicoveSlovo
n10:topological%20vector%20space n10:Gateaux%20differentiability n10:compact%20differentiability n10:normed%20space n10:convex%20function n10:Frechet%20differentiability
n5:kodStatuVydavatele
US - Spojené státy americké
n5:kontrolniKodProRIV
[5210246B1ED3]
n5:nazevZdroje
Mathematical Notes
n5:obor
n18:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
1
n5:rokUplatneniVysledku
n13:2012
n5:svazekPeriodika
91
n5:tvurceVysledku
Konderla, Tomáš
n5:wos
000303478400007
n5:zamer
n8:MSM4781305904
s:issn
0001-4346
s:numberOfPages
4
n15:doi
10.1134/S0001434612010075
n4:organizacniJednotka
19610