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en

Bicommutant

UK
/ˌbaɪ.kəˈmjuː.tənt/
US
/ˌbaɪ.kəˈmjuː.tənt/
ru

Translation bicommutant into russian

bicommutant
Noun
raiting
UK
/ˌbaɪ.kəˈmjuː.tənt/
US
/ˌbaɪ.kəˈmjuː.tənt/
The bicommutant of a set of operators is an important concept in functional analysis.
Бикоммутант множества операторов является важным понятием в функциональном анализе.

Definitions

bicommutant
Noun
raiting
UK
/ˌbaɪ.kəˈmjuː.tənt/
US
/ˌbaɪ.kəˈmjuː.tənt/
In mathematics, particularly in functional analysis, the bicommutant of a set of operators is the commutant of the commutant of that set.
In the study of von Neumann algebras, the bicommutant theorem states that the bicommutant of a set of operators is equal to the weak closure of the algebra generated by that set.