Projection-valued Measure
In mathematics, particularly functional analysis a projection-valued measure (PVM) is a function defined on certain subsets of a fixed set and whose values are self-adjoint projections on a Hilbert space. Projection-valued measures are used to express results in spectral theory, such as the spectral theorem for self-adjoint operators. In quantum mechanics, PVMs are the mathematical description of projective measurements. As described below, they can be generalized to positive operator valued measures (POVMs).
Read more about Projection-valued Measure: Formal Definition, Extensions of Projection-valued Measures, Structure of Projection-valued Measures, Generalizations
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