6 papers
Weak estimates for multiple operator integrals and generalized absolute value functions
Martijn Caspers, Fedor Sukochev, Dmitriy Zanin
Consider the generalized absolute value function defined by \[ a(t) = \vert t \vert t^{n-1}, \qquad t \in \mathbb{R}, n \in \mathbb{N}_{\geq 1}. \] Further, consider the -th ord…
Harmonic analysis and BMO-spaces of free Araki-Woods factors
Martijn Caspers
We consider semi-group BMO-spaces associated with arbitrary von Neumann algebras and prove interpolation theorems. This extends results by Junge-Mei for the tracial case. We give e…
Weak type operator Lipschitz and commutator estimates for commuting tuples
Martijn Caspers, Fedor Sukochev, Dmitriy Zanin
Let be a Lipschitz function. If is a bounded self-adjoint operator and if are commuting bounded self-adjoint operators such th…
Weak type estimates for the absolute value mapping
M. Caspers, D. Potapov, F. Sukochev +1
We prove that if A and B are bounded self-adjoint operators such that A-B belongs to the trace class, then |A| -|B| belongs to the principal ideal L_{1,\infty} in the algebra L(H)…
The best constants for operator Lipschitz functions on Schatten classes
Martijn Caspers, Stephen Montgomery-Smith, Denis Potapov +1
Suppose that f is a Lipschitz function on the real numbers with Lipschitz constant smaller or equal to 1. Let A be a bounded self-adjoint operator on a Hilbert space H. Let 1<p<inf…
The Walsh basis in the Lp-spaces of hyperfinite III_λ-factors, 0 < λ<= 1
M. Caspers, D. Potapov, F. Sukochev
We introduce a non-commutative Walsh system and prove that it forms a Schauder basis in the Lp-spaces (1 < p < \infty) associated with the hyperfinite III_λ-factors (0 < λ<= 1).