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math.OA2024★ 1 cited
Symmetric functionals on simply generated symmetric spaces
Galina Levitina, Alexandr Usachev
In the present paper we suggest a construction of symmetric functionals on a large class of symmetric spaces over a semifinite von Neumann algebra. This approach establishes a bije…
math.OA2012★ 1 cited
Derivations on ideals in commutative -algebras
V. I. Chilin, G. B. Levitina
Let be a commutative -algebra, let be the *-algebra of all measurable operators affiliated with , let be an ideal in…
math.OA2012
Derivations on symmetric quasi-Banach ideals of compact operators
A. F. Ber, V. I. Chilin, G. B. Levitina +1
Let be symmetric quasi-Banach ideals of compact operators on an infinite-dimensional complex Hilbert space , let be a space of multipliers from $…