YANG Han-sheng, ZHONG Shou-ming. Eigenvalue Theorem on Near-Algebra and Banach Algebra[J]. Journal of University of Electronic Science and Technology of China, 2005, 34(6): 854-856.
Citation:
YANG Han-sheng, ZHONG Shou-ming. Eigenvalue Theorem on Near-Algebra and Banach Algebra[J]. Journal of University of Electronic Science and Technology of China, 2005, 34(6): 854-856.
YANG Han-sheng, ZHONG Shou-ming. Eigenvalue Theorem on Near-Algebra and Banach Algebra[J]. Journal of University of Electronic Science and Technology of China, 2005, 34(6): 854-856.
Citation:
YANG Han-sheng, ZHONG Shou-ming. Eigenvalue Theorem on Near-Algebra and Banach Algebra[J]. Journal of University of Electronic Science and Technology of China, 2005, 34(6): 854-856.
Eigenvalue Theorem on Near-Algebra and Banach Algebra
Let a (p,q)-additive selfmap f on near-algebra or Banach algebra X satisfy f (e)=e and f (u)=ϕ(u) f (u-1)φ(u) whereϕ:X → X andφ:X → DES(X) be an automorphism and antiautomorphism respectively such that ϕ(u)=uφ(u-1)u for each invertible u of X. Then all of the normal invertibles of X have the common eigenvalue λ=2q/(1+q) if p=q≠-1.
ISSN 
DownLoad: