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    A. Boudou and S. Viguier-Pla (2014)
    Application of convergent sequences of projectors to stationary processes.
    Contributions in infinite-dimensional statistics and related topics , 67-72. Sociatà editrice ESCULAPIO, IWFOS 2014

    Classification
    60G57, 60G10, 60B15, 60H05
    Keywords
    Orthogonal projectors, Random measures, Partial order, Stationary processes, Spectral measures, Unitary operators
    Abstract : We develop a measure of the gap between two projectors, based on the convergence of sequences of projectors. This allows us to define the gap between two spectral measures, and develop several properties associated with the latter. In particular, we establish the continuity of the convolution product.