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Local automorphisms and derivations on 
Author(s):
Sang
Og
Kim;
Ju
Seon
Kim
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1389-1392.
MSC (2000):
Primary 47B49, 15A60
Posted:
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  , the  matrix algebra over the complex numbers are derivations and to give a shorter proof that 2-local *-automorphisms on  are *-automorphisms.
References:
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- L. Molnár, 2-local isometries of some operator algebras, Proc. Edinburgh Math. Soc. 45 (2002), 349-352. MR 2003e:47067
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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
DOI:
10.1090/S0002-9939-03-07171-5
PII:
S 0002-9939(03)07171-5
Keywords:
2-local *-automorphism,
2-local derivation
Received by editor(s):
September 10, 2002
Received by editor(s) in revised form:
November 20, 2002
Posted:
December 18, 2003
Additional Notes:
This work was supported by the Research Grant from Hallym University, Korea
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
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