Mappings preserving zero products

M. A. Chebotar, et al. "Mappings preserving zero products." Studia Mathematica 155.1 (2003): 77-94. <http://eudml.org/doc/284475>.

@article{M2003,
abstract = {Let θ : ℳ → 𝓝 be a zero-product preserving linear map between algebras. We show that under some mild conditions θ is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, C*-algebras and W*-algebras.},
author = {M. A. Chebotar, W.-F. Ke, P.-H. Lee, N.-C. Wong},
journal = {Studia Mathematica},
keywords = {zero-product preserving map; algebra homomorphism; Jordan homomorphism; operator algebra},
language = {eng},
number = {1},
pages = {77-94},
title = {Mappings preserving zero products},
url = {http://eudml.org/doc/284475},
volume = {155},
year = {2003},
}

TY - JOUR
AU - M. A. Chebotar
AU - W.-F. Ke
AU - P.-H. Lee
AU - N.-C. Wong
TI - Mappings preserving zero products
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 1
SP - 77
EP - 94
AB - Let θ : ℳ → 𝓝 be a zero-product preserving linear map between algebras. We show that under some mild conditions θ is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, C*-algebras and W*-algebras.
LA - eng
KW - zero-product preserving map; algebra homomorphism; Jordan homomorphism; operator algebra
UR - http://eudml.org/doc/284475
ER -