Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 449-454.

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LINEAR ¤-DERIVATIONS ON JB¤-ALGEBRAS

Park Chun-Gil   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Supported by Korea Research Foundation (KRF-2004-041-C00023).

Abstract:

It is shown that for a derivation f(x1xj1xjxj+1xk)=kj=1x1xj1xj+1xkf(xj)

on a JB-algebra B, there
exists a unique C-linear -derivation D:BB near the derivation.

Key words: linear ¤-derivation, JB¤-algebra, functional equation, stability

CLC Number: 

  • 46K70
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