commutant lifting theorem
Hello, you have come here looking for the meaning of the word commutant lifting theorem. In DICTIOUS you will not only get to know all the dictionary meanings for the word commutant lifting theorem, but we will also tell you about its etymology, its characteristics and you will know how to say commutant lifting theorem in singular and plural. Everything you need to know about the word commutant lifting theorem you have here. The definition of the word commutant lifting theorem will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofcommutant lifting theorem, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Proper noun
- (mathematics) A theorem in operator theory, stating that, if T is a contraction on a Hilbert space H, and U is its minimal unitary dilation acting on some Hilbert space K, and R is an operator on H commuting with T, then there is an operator S on K commuting with U such that and . In other words, an operator from the commutant of T can be "lifted" to an operator in the commutant of the unitary dilation of T.
