2-local Lie isomorphisms of operator algebras on Banach spaces

Lin Chen, Lizhong Huang, and Fangyan Lu. "2-local Lie isomorphisms of operator algebras on Banach spaces." Studia Mathematica 229.1 (2015): 1-11. <http://eudml.org/doc/285915>.

@article{LinChen2015,
abstract = {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.},
author = {Lin Chen, Lizhong Huang, Fangyan Lu},
journal = {Studia Mathematica},
keywords = {Lie isomorphism; 2-local Lie isomorphism},
language = {eng},
number = {1},
pages = {1-11},
title = {2-local Lie isomorphisms of operator algebras on Banach spaces},
url = {http://eudml.org/doc/285915},
volume = {229},
year = {2015},
}

TY - JOUR
AU - Lin Chen
AU - Lizhong Huang
AU - Fangyan Lu
TI - 2-local Lie isomorphisms of operator algebras on Banach spaces
JO - Studia Mathematica
PY - 2015
VL - 229
IS - 1
SP - 1
EP - 11
AB - 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.
LA - eng
KW - Lie isomorphism; 2-local Lie isomorphism
UR - http://eudml.org/doc/285915
ER -