Extreme functionals on an upper semicontinuous function space
نویسندگان
چکیده
منابع مشابه
Upper semicontinuous valuations on the space of convex discs
We show that every rigid motion invariant and upper semicontinuous valuation on the space of convex discs is a linear combination of the Euler characteristic, the length, the area, and a suitable curvature integral of the convex disc. 1991 AMS subject classification: 52A10, 53A04
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1974-0328579-3