About: Approximation of convex functions in Asplund generated spaces

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	An Asplund generated space is a Banach wihich contains densely the linear image of an Asplund space. We prove that every continuous convex function on an Asplund generated space can be represented as the pointwise limit of a non-decreasing sequence of continuous convex functions which are locally affine on dense open sets. The result is proved first for sublinear functions and then extended to convex functions. An Asplund generated space is a Banach wihich contains densely the linear image of an Asplund space. We prove that every continuous convex function on an Asplund generated space can be represented as the pointwise limit of a non-decreasing sequence of continuous convex functions which are locally affine on dense open sets. The result is proved first for sublinear functions and then extended to convex functions. (en)
Title	Approximation of convex functions in Asplund generated spaces Approximation of convex functions in Asplund generated spaces (en)
skos:prefLabel	Approximation of convex functions in Asplund generated spaces Approximation of convex functions in Asplund generated spaces (en)
skos:notation	RIV/67985840:_____/07:00336544!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/04/0090), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Fabian, Marián
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	410606
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/07:00336544
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	convex function; locally affine function; Frechet differentiability; approximation; Asplund generated space (en)
http://linked.open.../riv/klicoveSlovo	Frechet differentiability convex function approximation locally affine function Asplund generated space
http://linked.open...odStatuVydavatele	JP - Japonsko
http://linked.open...ontrolniKodProRIV	[BE08FAB9BE1C]
http://linked.open...i/riv/nazevZdroje	Journal of Nonlinear and Convex Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Geometrical analysis in Banach spaces II
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	8
http://linked.open...iv/tvurceVysledku	Chen, S. Fabian, Marián Cheng, L.
http://linked.open...ain/vavai/riv/wos	000207066100006
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	1345-4773
number of pages	5 (xsd:int)

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