23 citations · 132 across the 75 of their papers we have counts for
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Kruglov operator and operators defined by random permutations
S. V. Astashkin, D. V. Zanin, E. M. Semenov +1
The Kruglov property and the Kruglov operator play an important role in the study of geometric properties of r.i. function spaces. We prove that the boundedness of the Kruglov oper…
Orbits in symmetric spaces, II
N. J. Kalton, F. A. Sukochev, D. V. Zanin
Suppose is fully symmetric Banach function space on or or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on …
Lidskii-type formulae for Dixmier traces
A. A. Sedaev, F. A. Sukochev, D. V. Zanin
We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geomet…
Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces
F. Sukochev, D. Zanin
{\it We study the class of all rearrangement-invariant (=r.i.) function spaces on such that there exists for which $ \Vert \sum_{_{k=1}}^nξ_k\Vert_{E}\leq Cn^{q…
Orbits in symmetric spaces
F. Sukochev, D. Zanin
We characterize those elements in a fully symmetric spaces on the interval or on the semi-axis whose orbits are the norm-closed convex hull of their extreme po…