2-LOCAL DERIVATIONS ON MATRIX ALGEBRAS AND ALGEBRAS OF MEASURABLE OPERATORS

2-LOCAL DERIVATIONS ON MATRIX ALGEBRAS AND ALGEBRAS OF MEASURABLE OPERATORS
Daraja:
Oliy ta`lim
Turi:
Maqola
Til:
Ingliz tilida
Yaratilgan vaqti:
2021-04-18 19:41:46
Abstract. Let A be a unital Banach algebra such that any Jordan derivation from A into any A-bimodule M is a derivation. We prove that any 2-local derivation from the algebra Mn(A) into Mn(M) (n ≥ 3) is a derivation. We apply this result to show that any 2-local derivation on the algebra of locally measurable operators affiliated with a von Neumann algebra without direct abelian summands is a derivation.

Дабавлено : 2021-04-18 19:41:46

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