Quadratic functionals on modules over alternative *-rings-Reference-Cited by-同舟云学术

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Quadratic functionals on modules over alternative *-rings

Published:2005-10-01 Issue:4 Volume:42 Page:459-469
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

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 by symmetric weak sesquilinear forms on modules over alternative *-rings. The main result is applied on quadratic functionals acting on modules over the octonion algebra and an alternative H*-algebra.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.42.2005.4.9

Reference13 articles.

1. Jordan *-derivation pairs on a complex *-algebra;L. Molnár;Aequationes Math.,1997

2. On quadratic and sesquilinear functionals;P. Šemrl;Aequationes Math.,1986

3. On quadratic functionals;P. Šemrl;Bull. Austral. Math. Soc.,1988

4. Quadratic functionals and Jordan *-derivations;P. Šemrl;Studia, Math.,1991

5. Quadratic and quasi-quadratic functionals;P. Šemrl;Proc. Amer. Math. Soc.,1993

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