Jordan *-derivation pairs on standard operator algebras and related results

Dilian Yang. "Jordan *-derivation pairs on standard operator algebras and related results." Colloquium Mathematicae 102.1 (2005): 137-145. <http://eudml.org/doc/284168>.

@article{DilianYang2005,
abstract = {Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.},
author = {Dilian Yang},
journal = {Colloquium Mathematicae},
keywords = {Jordan -derivation pair; -Jordan -derivation; standard operator algebra; non-normal -ring},
language = {eng},
number = {1},
pages = {137-145},
title = {Jordan *-derivation pairs on standard operator algebras and related results},
url = {http://eudml.org/doc/284168},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Dilian Yang
TI - Jordan *-derivation pairs on standard operator algebras and related results
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 1
SP - 137
EP - 145
AB - Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.
LA - eng
KW - Jordan -derivation pair; -Jordan -derivation; standard operator algebra; non-normal -ring
UR - http://eudml.org/doc/284168
ER -