We present a simple procedure which transfers classical coefficient tests on summation of orthonormal series in L2(μ) into theorems on summation for unconditionally convergent series in vector-valued Banach function spaces E(X) (where E is a Banach function space over a measure space (Ω, μ) and X a Banach space).
|Original language||English (US)|
|Number of pages||10|
|Journal||Bulletin of the Belgian Mathematical Society - Simon Stevin|
|State||Published - 2007|
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