Abstract
Some more Steinhaus type theorems over valued fields
Highlights
If X, Y are sequence spaces over K, by (X, Y) we mean the class of all infinite matrices A =, n, k = 0,1,2,... such that
We prove the following result when K = Ill or C
We prove the following Steinhaus type result
Summary
Annales mathématiques Blaise Pascal, tome 6, no 1 (1999), p. SOME MORE STEINHAUS TYPE THEOREMS OVER VALUED FIELDS If X, Y are sequence spaces over K, by (X, Y) we mean the class of all infinite matrices A = (ank), n, k = 0,1,2,... £ (Az)n (fl, q; P) denotes the class of all infinite matrices A = (ank) in (fl, q) such that I A matrix A = (ank) is in (f, q) if and only if m sup 03A3ank ~; m>k n=o and
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