Lipschitz continuity of the absolute value in preduals of semifinite factors

DOI10.1007/BF01332490zbMath0946.46051MaRDI QIDQ1293849

Peter G. Dodds, Theresa K.-Y. Dodds, Pheodor A. Sukochev, Ben de Pagter

Publication date: 29 June 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

weak type estimatetrace class operatorsabsolute value mappingpreduals of semifinite factors

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35) Linear spaces of operators (47L05)

Related Items

Square function inequalities for non-commutative martingales, Weak type operator Lipschitz and commutator estimates for commuting tuples, Maximal Inequalities of Noncommutative Martingale Transforms, BMO-estimates for non-commutative vector valued Lipschitz functions, Weak \((1,1)\) estimates for multiple operator integrals and generalized absolute value functions, On the complete bounds of \(L_p\)-Schur multipliers, The optimal range of the Calderòn operator and its applications, Distributional inequalities for noncommutative martingales, Optimal estimates for martingale transforms

Cites Work

• Non-commutative Banach function spaces
• Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous
• Log smooth deformation theory
• Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces
• Fully symmetric operator spaces
• Generalized s-numbers of \(\tau\)-measurable operators
• Noncommutative Kothe Duality
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
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