Elementary Operators on Standard Operator Algebras |
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| Authors: | Lajos Molnár Peter Šemrl |
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| Institution: | 1. Institute of Mathematics and Informatics , University of Debrecen , P.O. Box 12, Debrecen, 4010, Hungary;2. Department of Mathematics , University of Ljubljana , Jadranska 19, Ljubljana, SI-1000, Slovenia |
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| 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. |
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| Keywords: | Standard Operator Algebra Elementary Operator |
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