Number of the records: 1
Smooth approximations
- 1.
SYSNO ASEP 0345050 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Smooth approximations Author(s) Hájek, Petr Pavel (MU-W) RID, SAI
Johanis, M. (CZ)Source Title Journal of Functional Analysis. - : Elsevier - ISSN 0022-1236
Roč. 259, č. 3 (2010), s. 561-582Number of pages 22 s. Language eng - English Country US - United States Keywords C-P-smooth ; Banach spaces ; Lipschitz Subject RIV BA - General Mathematics R&D Projects IAA100190801 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000277945300001 EID SCOPUS 77952668407 DOI 10.1016/j.jfa.2010.04.020 Annotation 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 (rest). 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 (rest) 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 then first derivatives. As a corollary we obtain new results on smooth approximation of C-1-smooth mappings together with their first derivatives. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
Number of the records: 1