Constructive closed range and open mapping theorems
نویسندگان
چکیده
منابع مشابه
High-order open mapping theorems
The well-known finite-dimensional first-order open mapping theorem says that a continuous map with a finite-dimensional target is open at a point if its differential at that point exists and is surjective. An identical result, due to Graves, is true when the target is infinite-dimensional, if “differentiability” is replaced by “strict differentiability.” We prove general theorems in which the l...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2000
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(00)80019-1