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Ranges of operators and derivatives
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SYSNO ASEP 0343937 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Ranges of operators and derivatives Author(s) Guirao, A. J. (ES)
Hájek, Petr Pavel (MU-W) RID, SAI
Montesinos, V. (ES)Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 367, č. 1 (2010), s. 29-33Number of pages 5 s. Language eng - English Country US - United States Keywords Banach-space ; smooth Subject RIV BA - General Mathematics R&D Projects IAA100190502 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) IAA100190801 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000275385100004 EID SCOPUS 77349118728 DOI 10.1016/j.jmaa.2009.12.010 Annotation We show a unified method of proving the existence of C-1-Frechet smooth and Lipschitz mappings which are surjective or whose range of the derivative contains the whole dual unit ball. As an application, under Martin's Maximum axiom, we obtain a complete result for those spaces with density character omega(1). Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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