Abstract
In this note a generalization of Powers–Størmer inequality for operator monotone functions on [0,+∞) and for positive linear functional on general C*-algebras will be introduced and be shown that the generalized Powers–Størmer inequality characterizes the tracial functionals on C*-algebras and the monotonicity for a given function.
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© 2016 Springer International Publishing Switzerland
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Osaka, H. (2016). Matrix Monotone Functions and the Generalized Powers–Størmer Inequality. In: de Jeu, M., de Pagter, B., van Gaans, O., Veraar, M. (eds) Ordered Structures and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27842-1_22
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DOI: https://doi.org/10.1007/978-3-319-27842-1_22
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-27840-7
Online ISBN: 978-3-319-27842-1
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