Title of article :
Lipschitz Continuity of the Absolute Value and Riesz Projections in Symmetric Operator Spaces
Author/Authors :
Dodds، نويسنده , , P.G and Dodds، نويسنده , , T.K and de Pagter، نويسنده , , B and Sukochev، نويسنده , , F.A، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1997
Abstract :
A principal result of the paper is that ifEis a symmetric Banach function space on the positive half-line with the Fatou property then, for all semifinite von Neumann algebras (M, τ), the absolute value mapping is Lipschitz continuous on the associated symmetric operator spaceE(M, τ) with Lipschitz constant depending only onEif and only ifEhas non-trivial Boyd indices. It follows that if M is any von Neumann algebra, then the absolute value map is Lipschitz continuous on the corresponding HaagerupLp-space, provided 1<p<∞.
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis