Ranges of operators and derivatives

0343937 - MÚ 2011 RIV US eng J - Journal Article
Guirao, A. J. - Hájek, Petr Pavel - Montesinos, V.
Ranges of operators and derivatives.
Journal of Mathematical Analysis and Applications. Roč. 367, č. 1 (2010), s. 29-33. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA AV ČR IAA100190502; GA AV ČR IAA100190801
Institutional research plan: CEZ:AV0Z10190503
Keywords : Banach-space * smooth
Subject RIV: BA - General Mathematics
Impact factor: 1.174, year: 2010
http://www.sciencedirect.com/science/article/pii/S0022247X09010051

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).
Permanent Link: http://hdl.handle.net/11104/0186294