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APPROXIMATIONS AND THE LINEARITY OF THE SHEPP SPACE

APPROXIMATIONS AND THE LINEARITY OF THE SHEPP SPACE

Suggested by Shepp [Ann. Math. Statist. 36(4) (1965), 1107-1112] we defined a sequence space Λp(f) determined by a single function f(≠ 0) ∈ Lp(R, dx), 1 ≤ p < +∞, and discussed the structure of it. The problems are the linearity and the visible sequential representation of Λp(f). In this …