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Local automorphisms and derivations on $\mathbb{M}_n$

Authors: Sang Og Kim and Ju Seon Kim
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1389-1392
MSC (2000): Primary 47B49, 15A60
Published electronically: December 18, 2003
MathSciNet review: 2053344
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Abstract: The aim of this note is to give a short proof that 2-local derivations on $M_n$, the $n\times n$ matrix algebra over the complex numbers are derivations and to give a shorter proof that 2-local *-automorphisms on $M_n$ are *-automorphisms.

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Additional Information

Sang Og Kim
Affiliation: Department of Mathematics, Hallym University, Chuncheon 200-702, Korea

Ju Seon Kim
Affiliation: Department of Mathematics Education, Seoul National University, Seoul, 151-742, Korea

Keywords: 2-local *-automorphism, 2-local derivation
Received by editor(s): September 10, 2002
Received by editor(s) in revised form: November 20, 2002
Published electronically: December 18, 2003
Additional Notes: This work was supported by the Research Grant from Hallym University, Korea
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2003 American Mathematical Society

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