Geodesic
The operation $ABA$ in operator algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 4, pp. 513-521.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The binary operation $aba$, called Jordan triple product, and its variants (such as e.g. the sequential product $\sqrt{a} b \sqrt{a}$ or the inverted Jordan triple product $a b^{-1} a$) appear in several branches of operator theory and matrix analysis. In this paper we briefly survey some analytic and algebraic properties of these operations, and investigate their intimate connection to Thompson type isometries in different operator algebras.
DOI : 10.14712/1213-7243.2020.041
Classification : 20N05
Keywords: loop; gyrogroup; Jordan triple product; Thompson metric; JB-algebra 
@article{10_14712_1213_7243_2020_041,
     author = {Ga\'al, Marcell},
     title = {The operation $ABA$ in operator algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {513--521},
     publisher = {mathdoc},
     volume = {61},
     number = {4},
     year = {2020},
     doi = {10.14712/1213-7243.2020.041},
     mrnumber = {4230956},
     zbl = {07332725},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.041/}
}
TY  - JOUR
AU  - Gaál, Marcell
TI  - The operation $ABA$ in operator algebras
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2020
SP  - 513
EP  - 521
VL  - 61
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.041/
DO  - 10.14712/1213-7243.2020.041
LA  - en
ID  - 10_14712_1213_7243_2020_041
ER  - 
%0 Journal Article
%A Gaál, Marcell
%T The operation $ABA$ in operator algebras
%J Commentationes Mathematicae Universitatis Carolinae
%D 2020
%P 513-521
%V 61
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.041/
%R 10.14712/1213-7243.2020.041
%G en
%F 10_14712_1213_7243_2020_041
Gaál, Marcell. The operation $ABA$ in operator algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 4, pp. 513-521. doi : 10.14712/1213-7243.2020.041. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.041/

Cité par Sources :