EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 51(65), pp. 81--86 (1992)

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Sesquilinear and quadratic forms on modules over $*$-algebras

C.-S. Lin

Department of Mathematics, Bishop's University, Lennoxville, P.Q. J1M1Z7, Canada

Abstract: 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 (MSC2000): 46H05, 46K05, 46C10

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition