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

Colloquium Mathematicae (2005)

- Volume: 102, Issue: 1, page 137-145
- ISSN: 0010-1354

## Access Full Article

top## Abstract

top## How to cite

topDilian 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.