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math.OA2023
-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…
math.OA2016
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…
math.OA2014★ 1 cited
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…