Complex interpolation of weighted noncommutative Lp-spaces

• Autores: Eric Ricard, Quanhua Xu
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 4, 2011, págs. 1165-1179
• Idioma: inglés
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• Resumen

  • et M be a semifinite von Neumann algebra equipped with a semifinite normal faithful trace t. Let d be an injective positive measurable operator with respect to (M,t) such that d-1 is also measurable. Define Lp(d)={x in L0(M) | dx+xd in Lp(d)(M)} and ||x||Lp(d)=||dx+xd||p.

    We show that for 1=p0