Elementary operators on standard operator algebras

L. Molnár, Peter Semrl

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 languageEnglish
Pages (from-to)315-319
Number of pages5
JournalLinear and Multilinear Algebra
Volume50
Issue number4
DOIs
Publication statusPublished - Dec 2002

Fingerprint

Standard Operator Algebra
Elementary Operators

Keywords

  • Elementary operator
  • Standard operator algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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

In: Linear and Multilinear Algebra, Vol. 50, No. 4, 12.2002, p. 315-319.

Research output: Contribution to journalArticle

Molnár, L. ; Semrl, Peter. / Elementary operators on standard operator algebras. In: Linear and Multilinear Algebra. 2002 ; Vol. 50, No. 4. pp. 315-319.
@article{ad578eb258cd4d649e227a856b1c184e,
title = "Elementary operators on standard operator algebras",
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.",
keywords = "Elementary operator, Standard operator algebra",
author = "L. Moln{\'a}r and Peter Semrl",
year = "2002",
month = "12",
doi = "10.1080/03081080290025499",
language = "English",
volume = "50",
pages = "315--319",
journal = "Linear and Multilinear Algebra",
issn = "0308-1087",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

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 -