Local automorphisms and derivations on $\mathbb {M}_n$
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- by Sang Og Kim and Ju Seon Kim PDF
- Proc. Amer. Math. Soc. 132 (2004), 1389-1392 Request permission
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.References
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Additional Information
- Sang Og Kim
- Affiliation: Department of Mathematics, Hallym University, Chuncheon 200-702, Korea
- Email: sokim@hallym.ac.kr
- Ju Seon Kim
- Affiliation: Department of Mathematics Education, Seoul National University, Seoul, 151-742, Korea
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1389-1392
- MSC (2000): Primary 47B49, 15A60
- DOI: https://doi.org/10.1090/S0002-9939-03-07171-5
- MathSciNet review: 2053344