Abstract
Let f be a nonnegative operator valued function on a Hilbert space. Suppose U is a unitary operator valued function. First the factorability of UfU* is studied and some results are obtained. Using these results, a sufficient condition for the factorability of f in terms of its eigenvalues is given.
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© 1978 Springer-Verlag
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Miamee, A.G., Salehi, H. (1978). On the factorization of a nonnegative operator valued function. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068816
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DOI: https://doi.org/10.1007/BFb0068816
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