Near-order relation of power means
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DOI: 10.1007/s11117-024-01099-4
Abstract: On the setting of positive definite operators we study the near-order properties of power means such as the quasi-arithmetic mean (Hölder mean) and Rényi power mean. We see the monotonicity of spectral geometric mean and… read more here.
Keywords: near order; power means; order relation; mean ... See more keywords
Norm Ratios Under a Weak Order Relation in Mm⊗Mn${\mathbb {M}}_{m}\otimes {\mathbb {M}}_{n}$
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DOI: 10.1007/s40306-018-0260-5
Abstract: In the real Hilbert space of self-adjoint elements of the tensor product Mm⊗Mn${\mathbb {M}}_{m}\otimes {\mathbb {M}}_{n}$, there are two natural cones besides the cone P0${\mathfrak {P}}_{0}$ of positive semi-definite elements. The one is and the… read more here.
Keywords: weak order; order relation; mathbb otimes; mathfrak ... See more keywords