Kolmogorov widths under holomorphic mappings
نویسندگان
چکیده
منابع مشابه
Kolmogorov widths under holomorphic mappings
If L is a bounded linear operator mapping the Banach space X into the Banach space Y and K is a compact set in X, then the Kolmogorov widths of the image L(K) do not exceed those of K multiplied by the norm of L. We extend this result from linear maps to holomorphic mappings u from X to Y in the following sense: when the n widths of K are O(n−r) for some r > 1, then those of u(K) are O(n−s) for...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2015
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/dru066