1 citations · 2 across the 6 of their papers we have counts for
6 papers
-algebraic approach to the principal symbol. III
Y. Kordyukov, F. Sukochev, D. Zanin
We treat the notion of principal symbol mapping on a compact smooth manifold as a -homomorphism of -algebras. Principal symbol mapping is built from the ground, wit…
Fuglede-Putnam theorem for locally measurable operators
A. Ber, V. Chilin, F. Sukochev +1
We extend the Fuglede-Putnam theorem from the algebra of all bounded operators on the Hilbert space to the algebra of all locally measurable operators affiliated with a…
On uniqueness of distribution of a random variable whose independent copies span a subspace in L_p
S. Astashkin, F. Sukochev, D. Zanin
Let 1\leq p<2 and let L_p=L_p[0,1] be the classical L_p-space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero…
Dixmier traces are weak dense in the set of all fully symmetric traces
F. Sukochev, D. Zanin
We extend Dixmier's construction of singular traces (see \cite{Dixmier}) to arbitrary fully symmetric operator ideals. In fact, we show that the set of Dixmier traces is weak d…
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 …