Open AccessOn a Theorem of Hernández and Nashed
Author(s) -
M. Dörfner
Publication year - 1998
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/820
Subject(s) - mathematics , lemma (botany) , banach space , pure mathematics , eberlein–šmulian theorem , open mapping theorem (functional analysis) , discrete mathematics , lp space , ecology , poaceae , biology
We prove a theorem on the global invertibility of nonlinear maps in metric vector spaces. As corollaries our result yields a theorem of Hernández and Nashed, as well as the classical Banach-Mazur lemma and an invertibility criterion by Browder.
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