m at h . FA ] 1 3 A pr 1 99 5 A Lifting Theorem for Locally Convex Subspaces of L 0
نویسندگان
چکیده
L0/E A. Pe lczyński was the first to ask if locally convex subspaces E have this property. If E is locally bounded then we can find such an operator (Kalton Peck [2]). Peck Starbird [6] showed that this is also true when E is isomorphic to ω, the space of all real sequences. The goal of this paper is to show that if E is locally convex then we can complete the previous diagram. We will state some notation. We will let μ represent the standard Lebesgue measure. We also define the map f 7→ ‖f‖0 (L0 → R) as
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تاریخ انتشار 1995