Smooth Approximations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10057431" target="_blank" >RIV/00216208:11320/10:10057431 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/10:00345050

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Smooth Approximations

Original language description

We prove, among other things, that a Lipschitz (or uniformly continuous) mapping f: X-} Y can be approximated (even in a fine topology) by smooth Lipschitz (resp. uniformly continuous) mapping, if X is a separable Banach space admitting a smooth Lipschitz bump and either X or Y is a separable C(K) space (resp. super-reflexive space). Further, we show how smooth approximation of Lipschitz mappings is closely related to a smooth approximation of C^1-smooth mappings together with their first derivatives. As a corollary we obtain new results on smooth approximation of C^1-smooth mappings together with their first derivatives.

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/IAA100190801" target="_blank" >IAA100190801: Smoothness in Banach spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Journal of Functional Analysis

ISSN

0022-1236

e-ISSN

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Volume of the periodical

259

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

22

Pages from-to

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UT code for WoS article

000277945300001

EID of the result in the Scopus database

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