Approximation of convex functions in Asplund generated spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F07%3A00336544" target="_blank" >RIV/67985840:_____/07:00336544 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Approximation of convex functions in Asplund generated spaces

Original language 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F04%2F0090" target="_blank" >GA201/04/0090: Geometrical analysis in Banach spaces II</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Journal of Nonlinear and Convex Analysis

ISSN

1345-4773

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

1

Country of publishing house

JP - JAPAN

Number of pages

5

Pages from-to

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UT code for WoS article

000207066100006

EID of the result in the Scopus database

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