Approximation properties of certain operator-induced norms on Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Approximation properties of certain operator-induced norms on Hilbert spaces
We consider a class of operator-induced norms, acting as finite-dimensional surrogates to the L2 norm, and study their approximation properties over Hilbert subspaces of L2. The class includes, as a special case, the usual empirical norm encountered, for example, in the context of nonparametric regression in a reproducing kernel Hilbert space (RKHS). Our results have implications to the analysi...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2012
ISSN: 0021-9045
DOI: 10.1016/j.jat.2011.11.002