Interpolation between weighted Lp-spaces
نویسندگان
چکیده
منابع مشابه
Complex interpolation of weighted noncommutative Lp-spaces
Let M be a semifinite von Neumann algebra equipped with a semifinite normal faithful trace τ . Let d be an injective positive measurable operator with respect to (M, τ ) such that d is also measurable. Define Lp(d) = {x ∈ L0(M) : dx+ xd ∈ Lp(M)} and ‖x‖Lp(d) = ‖dx+ xd‖p . We show that for 1 6 p0 < p1 6 ∞, 0 < θ < 1 and α0 > 0, α1 > 0 the interpolation equality (Lp0(d 0), Lp1(d α))θ = Lp(d ) hol...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1972
ISSN: 0004-2080
DOI: 10.1007/bf02384812