2-local Lie isomorphisms of operator algebras on Banach spaces

• Autorzy: Lin Chen , Lizhong Huang , Fangyan Lu
• Języki publikacji: EN

Abstrakty

EN

Let X and Y be complex Banach spaces of dimension greater than 2. We show that every 2-local Lie isomorphism ϕ of B(X) onto B(Y) has the form ϕ = φ + τ, where φ is an isomorphism or the negative of an anti-isomorphism of B(X) onto B(Y), and τ is a homogeneous map from B(X) into ℂI vanishing on all finite sums of commutators.

Kategorie tematyczne

• 47B49: Transformers, preservers (operators on spaces of operators)
• 16S50: Endomorphism rings; matrix rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 229
• Numer: 1
• Strony: 1-11

Daty

wydano

2015

Twórcy

autor

Lin Chen

• Department of Mathematics, Soochow University, Suzhou 215006, P.R. China
• Department of Mathematics and Physics, Anshun University, Anshun 561000, P.R. China

autor

Lizhong Huang

• Department of Mathematics, Shanxi Datong University, Datong 037009, P.R. China

autor

Fangyan Lu

• Department of Mathematics, Soochow University, Suzhou 215006, P.R. China

Identyfikatory

DOI

10.4064/sm7864-12-2015