Quasidiagonality
Translation of "quasidiagonality" into Russian
quasidiagonality
NounUK
/ˌkwɒsɪdaɪəˈnælɪti/
US
/ˌkwɑsɪdaɪəˈnælɪti/
quasidiagonality
квазидиагональность
The concept of quasidiagonality is important in the study of operator algebras.
Понятие квазидиагональности важно в изучении алгебр операторов.
Definitions
quasidiagonality
NounUK
/ˌkwɒsɪdaɪəˈnælɪti/
US
/ˌkwɑsɪdaɪəˈnælɪti/
A property of a matrix or operator in functional analysis where it can be approximated by a sequence of finite-dimensional diagonal matrices.
The concept of quasidiagonality is crucial in the study of operator algebras.
In C*-algebra theory, the property of a separable C*-algebra that admits a faithful representation by quasidiagonal operators.
The quasidiagonality of the C*-algebra follows from Voiculescu's theorem.