Abstract
A submajorization inequality of T.Ando for operator monotone functions is extended to the setting of measurable operators affiliated with a semi-finite von Neumann algebra. The general form yields certain norm inequalities for the absolute value in symmetric operator spaces which were previously known in the setting of trace ideals.
Research partially supported by A.R.C.
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Dedicated to Professor A.C. Zaanen on the occasion of his 80-th birthday
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Dodds, P.G., Dodds, T.K. (1995). On a Submajorization Inequality of T. Ando. In: Huijsmans, C.B., Kaashoek, M.A., Luxemburg, W.A.J., de Pagter, B. (eds) Operator Theory in Function Spaces and Banach Lattices. Operator Theory Advances and Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9076-2_9
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DOI: https://doi.org/10.1007/978-3-0348-9076-2_9
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