四川大学学报(自然科学版)2006,Vol.43Issue(5):982-985,4.
Near-algebra和Banach代数上的特征值和不动点定理
The Eigenvalue and Fixed-point Theorem on Near-algebra and Banach Algebra
摘要
Abstract
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 ) ψ ( u ) where φ: X→ X and ψ: X→ DES (X) be an automorphism and antiautomorphism respectively such that φ ( u ) = uψ ( u - 1 ) u for each invertible u of X.Then the selfmap f has the common eigenvalue and fixed point all of the normal invertibles of X.关键词
near-algebra/Banach代数/自同构/反自同构/正则可逆/特征值/不动点Key words
near-algebra/Banach algebra/automorphism/antiautomorphism/normal invertible/eigenvalue/fixed point分类
数理科学引用本文复制引用
杨汉生..Near-algebra和Banach代数上的特征值和不动点定理[J].四川大学学报(自然科学版),2006,43(5):982-985,4.