The operation in operator algebras
Commentationes Mathematicae Universitatis Carolinae (2020)
- Volume: 61, Issue: 4, page 513-521
- ISSN: 0010-2628
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topGaál, Marcell. "The operation $ABA$ in operator algebras." Commentationes Mathematicae Universitatis Carolinae 61.4 (2020): 513-521. <http://eudml.org/doc/297262>.
@article{Gaál2020,
abstract = {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.},
author = {Gaál, Marcell},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loop; gyrogroup; Jordan triple product; Thompson metric; JB-algebra},
language = {eng},
number = {4},
pages = {513-521},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The operation $ABA$ in operator algebras},
url = {http://eudml.org/doc/297262},
volume = {61},
year = {2020},
}
TY - JOUR
AU - Gaál, Marcell
TI - The operation $ABA$ in operator algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 4
SP - 513
EP - 521
AB - 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.
LA - eng
KW - loop; gyrogroup; Jordan triple product; Thompson metric; JB-algebra
UR - http://eudml.org/doc/297262
ER -
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