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CLEAR VISmmiTY AND THE DIMENSION OF KERNELS OF STARSHAPED SETS
This paper will use the concept of clearly visible to obtain a Krasnosel'skii-type theorem for the dimension of the kernel of a starshaped set, and the following result will be proved: For each fc and n, 1 < k < n, let f(n,n) = n -\1 and /(n, fc) = 2n if 1 < fc < n — 1. Let S be a nonempty compact set in Rn. Then for a fc with 1 < fc < n, dim ker S > fc if and only if every f(n, fc) points of b...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.2307/2043783