### Abstract

We present a new simple proof of the structural result for elementary operators on standard operator algebras. Using the idea of this short proof we can characterize surjective maps between standard operator algebras having a certain multiplicativity-like property appearing in the abstract definition of elementary operators of length one. In particular, we show that such maps are automatically additive.

Original language | English |
---|---|

Pages (from-to) | 315-319 |

Number of pages | 5 |

Journal | Linear and Multilinear Algebra |

Volume | 50 |

Issue number | 4 |

DOIs | |

Publication status | Published - Dec 2002 |

### Fingerprint

### Keywords

- Elementary operator
- Standard operator algebra

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Linear and Multilinear Algebra*,

*50*(4), 315-319. https://doi.org/10.1080/03081080290025499

**Elementary operators on standard operator algebras.** / Molnár, L.; Semrl, Peter.

Research output: Contribution to journal › Article

*Linear and Multilinear Algebra*, vol. 50, no. 4, pp. 315-319. https://doi.org/10.1080/03081080290025499

}

TY - JOUR

T1 - Elementary operators on standard operator algebras

AU - Molnár, L.

AU - Semrl, Peter

PY - 2002/12

Y1 - 2002/12

N2 - We present a new simple proof of the structural result for elementary operators on standard operator algebras. Using the idea of this short proof we can characterize surjective maps between standard operator algebras having a certain multiplicativity-like property appearing in the abstract definition of elementary operators of length one. In particular, we show that such maps are automatically additive.

AB - We present a new simple proof of the structural result for elementary operators on standard operator algebras. Using the idea of this short proof we can characterize surjective maps between standard operator algebras having a certain multiplicativity-like property appearing in the abstract definition of elementary operators of length one. In particular, we show that such maps are automatically additive.

KW - Elementary operator

KW - Standard operator algebra

UR - http://www.scopus.com/inward/record.url?scp=0036889067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036889067&partnerID=8YFLogxK

U2 - 10.1080/03081080290025499

DO - 10.1080/03081080290025499

M3 - Article

VL - 50

SP - 315

EP - 319

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

IS - 4

ER -