A Note on Sesquilinear Forms and the Generalized Uncertainty Relations in *-Algebras

Ken Kuriyama,Kenjiro Yanagi,Shigeru Furuichi

doi:10.1007/978-1-4613-0221-6_20

A Note on Sesquilinear Forms and the Generalized Uncertainty Relations in *-Algebras

Ken Kuriyama, Kenjiro Yanagi + Show 1 more

https://doi.org/10.1007/978-1-4613-0221-6_20

Copy DOI

Publication Date: Jan 1, 2004

Affiliation: Yamaguchi University, Sanyo-Onoda City University, Tokyo University of Science

#Positive Linear Form #Generalized Uncertainty Relations + Show 6 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Sesquilinear forms induced by a positive linear form on a *-algebra are introduced. Some relations among them are investigated and then the inequality related to the uncertainty principle is shown in general situation. As a by-product, GNS construction theorem by the right regular representation is constructed by the *-antihomomorphism.

Full Text