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- W1965776502 abstract "Abstract For bounded self-adjoint operators A and B we write A ⩽ u B if there is a unitary U such that A ⩽ U ⁎ B U . In [7] , Kosaki (1992) has shown that A ⩽ B ⇒ exp ( A ) ⩽ u exp ( B ) . In this note, we extend this; especially, we show that for a function f ( t ) = ∑ i = 1 n c i t a i e b i t with positive coefficients a i , b i and c i , 0 ⩽ A ⩽ u B ⇒ f ( A ) ⩽ u f ( B ) . We then apply this to a positive linear map and get a similar inequality." @default.
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- W1965776502 date "2013-04-01" @default.
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- W1965776502 title "Inequality between unitary orbits" @default.
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- W1965776502 doi "https://doi.org/10.1016/j.crma.2013.04.024" @default.
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