Geodesic
Sesquilinear and Quadratic Forms on Modules Over *-algebras
Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 81 .

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We define three new quadratic forms on a module over a $*$-algebra. It is shown that for each quadratic form with a certain property, there exists a sesquilinear form such that both forms are equal to each other. The converse statement is also valid. So far as application is concerned this result enables us to form new characterization formulas for an inner product space if we restrict attention to normed linear spaces.
Classification : 46H05 46K05 46C10 
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     author = {C.-S. Lin},
     title = {Sesquilinear and {Quadratic} {Forms} on {Modules} {Over} *-algebras},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
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     number = {65},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1992_N_S_51_65_a9/}
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C.-S. Lin. Sesquilinear and Quadratic Forms on Modules Over *-algebras. Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 81 . http://geodesic.mathdoc.fr/item/PIM_1992_N_S_51_65_a9/