Quadratic functionals on modules over *-rings

Author:

Ilišević Dijana1

Affiliation:

1. 1 Department of Mathematics, University of Zagreb Bijenička 30, P.O. Box 335, 10002 Zagreb, Croatia

Abstract

The aim of this paper is to give a solution to the problem of the representability of quadratic functionals, acting on modules over *-rings, by symmetric (weak) sesquilinear forms. The obtained results generalize the one given by P. Šemrl and B. Zalar to a larger class of *-rings.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference9 articles.

1. Some functional equations in Banach algebras and an application;J. Vukman;Proc. Amer. Math. Soc.,1987

2. Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space;B. Zalar;Acta Math. Hungar.,1995

3. Jordan *-derivation pairs and quadratic functionals on modules over *-rings;B. Zalar;Aequationes Math.,1997

4. IliŠEvić, D., Quadratic functionals on modules over complex Banach *-algebras possessing an approximate identity, submitted.

5. Quadratic and sesquilinear functionals;S. Kurepa;Glasnik Mat.-Fiz. i Astr.,1965

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