Abstract
We extend the result of A. Bellow ( Proc. Nat. Acad. Sci. USA 73, No. 6 (1976) , 1798–1799) on the characterization of finite-dimensional Banach spaces, to a characterization of nuclearity for Fréchet spaces. Those spaces are nuclear iff every Pettis-bounded and Pettis-uniformly integrable amart is mean convergent. Several other characterizations are given.
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