23 citations · 132 across the 75 of their papers we have counts for
4 papers · 1 filter
Which traces are spectral?
F. Sukochev, D. Zanin
Among ideals of compact operators on a Hilbert space we identify a subclass of those closed with respect to the logarithmic submajorization. Within this subclass, we answer the que…
Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras
Ken Dykema, Fedor Sukochev, Dmitriy Zanin
The decompositions of an element of a finite von Neumann algebra into the sum of a normal operator plus an s.o.t.-quasinilpotent operator, obtained using the Haagerup--Schultz hype…
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)…
A decomposition theorem in II_1-factors
K. Dykema, F. Sukochev, D. Zanin
Building on results of Haagerup and Schultz, we decompose an arbitrary operator in a diffuse, finite von Neumann algebra into the sum of a normal operator and an s.o.t.-quasinilpot…