منابع مشابه
Approximate Isometries on Finite-dimensional Normed Spaces
Every ε-isometry u between real normed spaces of the same finite dimension which maps the origin to the origin may by uniformly approximated to within 2ε by a linear isometry. Under a smoothness hypothesis, necessary and sufficient conditions are obtained for the same conclusion to hold for a given ε-isometry between infinite-dimensional Banach spaces.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2002
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm92-1-13