Dilation (operator theory)

In operator theory, a dilation of an operator is the presentation of an operator as a compression of another operator which is functioning under proper operator behavior. == Hilbert space and dilation == T on a Hilbert space H is an operator on a larger Hilbert space K, whose restriction to H composed with the orthogonal projection onto H is T. With a Hilbert space contraction, there exists what is called the uniquely determined minimal unitary dilation, which is proven in the Applications section below.

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