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On the factorization of a nonnegative operator valued function

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Probability Theory on Vector Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 656))

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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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References

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Author information

Authors and Affiliations

  1. Arya-Mehr University of Technology, Isfahan, Iran

    A. G. Miamee & H. Salehi

  2. Michigan State University, 48824, East Lansing, Michigan, USA

    A. G. Miamee & H. Salehi

Authors
  1. A. G. Miamee
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  2. H. Salehi
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A. Weron

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive

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