Isomorphic properties of intersection bodies
نویسندگان
چکیده
منابع مشابه
Isomorphic Properties of Intersection Bodies
We study isomorphic properties of two generalizations of intersection bodies the class I k of k-intersection bodies in R and the class BPk of generalized k-intersection bodies in R. In particular, we show that all convex bodies can be in a certain sense approximated by intersection bodies, namely, if K is any symmetric convex body in R and 1 6 k 6 n− 1 then the outer volume ratio distance from ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2011
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2011.07.011