Geodesic
On Generalized Inequalities of Heinz, Halmos and Bernstein
Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 149 .

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We present generalized inequalities of Heinz, Halmos and Bernstein. It is proved that they are all equivalent to one another. In fact they are are all equivalent to the Cauchy--Schwarz inequality. Equality condition and the bound of inequality are established.
DOI : 10.2298/PIM0373149L
Classification : 47A63 47A30 
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     author = {C.S. Lin},
     title = {On {Generalized} {Inequalities} of {Heinz,} {Halmos} and {Bernstein}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {149 },
     publisher = {mathdoc},
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     year = {2003},
     doi = {10.2298/PIM0373149L},
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C.S. Lin. On Generalized Inequalities of Heinz, Halmos and Bernstein. Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 149 . doi : 10.2298/PIM0373149L. http://geodesic.mathdoc.fr/articles/10.2298/PIM0373149L/

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