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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DOI Zbl

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 
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
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     title = {On {Generalized} {Inequalities} of {Heinz,} {Halmos} and {Bernstein}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {149 },
     year = {2003},
     volume = {_N_S_73},
     number = {87},
     doi = {10.2298/PIM0373149L},
     zbl = {1067.47025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0373149L/}
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