Summability Viewed as Integration
نویسنده
چکیده
1. Let 5= {$»} denote an infinite sequence of complex numbers and let A=*(ank) be a summation matrix. If the A -transform of s, {*n} = { X)*°-o nkSk} is a bounded sequence, it may be regarded as a bounded continuous function t(n) on the discrete space of natural numbers N, and thus it has a continuous extension 1 to /3iV, the StoneCech compactification of N$ cf. [2, pp. 82-95]. Let 7 o be a fixed point of (3N—N; we define
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